



@phdthesis{ Abb89,
  author =           {Abbott, J. A.},
  title =            {On  the  Factorization  of  Polynomials over Algebraic
                      Fields},
  month =            {September},
  school =           {School of Mathematical Sciences, University of Bath},
  year =             {1989},
  printedkey =       {Abb89}
}
@article{ AL94,
  author =           {Alvis, D. and Lusztig, G.},
  title =            {Correction  to  the  paper:  {T}he representations and
                      generic degrees of the {H}ecke algebra of type {$H_4$}
                      [{J}.  {R}eine  {A}ngew.  {M}ath.  {\bf  336}  (1982),
                      201{\textendash}212; {MR}0671329 (84a:20013)]},
  journal =          {J. Reine Angew. Math.},
  volume =           {449},
  year =             {1994},
  pages =            {217{\textendash}218},
  crossref =         {AL82},
  note =             {Correction: ibid. \bf 449, 217{\textendash}218 (1994)},
  coden =            {JRMAA8},
  fjournal =         {Journal f{\"u}r die Reine und Angewandte Mathematik},
  issn =             {0075\texttt{\symbol{45}}4102},
  mrclass =          {20C15},
  mrnumber =         {1268587 (95a:20005)},
  mrreviewer =       {Bhama Srinivasan},
  printedkey =       {AL94}
}
@article{ AL82,
  author =           {Alvis, D. and Lusztig, G.},
  title =            {The representations and generic degrees of the {H}ecke
                      algebra of type {$H_4$}},
  journal =          {J. Reine Angew. Math.},
  volume =           {336},
  year =             {1982},
  pages =            {201{\textendash}212},
  crossref =         {AL94},
  note =             {Correction: ibid. \bf 449, 217{\textendash}218 (1994)},
  coden =            {JRMAA8},
  fjournal =         {Journal f{\"u}r die Reine und Angewandte Mathematik},
  issn =             {0075\texttt{\symbol{45}}4102},
  mrclass =          {20C15},
  mrnumber =         {671329 (84a:20013)},
  mrreviewer =       {Bhama Srinivasan},
  printedkey =       {AL82}
}
@article{ Alv87,
  author =           {Alvis, D.},
  title =            {The left cells of the {C}oxeter group of type {$H_4$}},
  journal =          {J. Algebra},
  volume =           {107},
  number =           {1},
  year =             {1987},
  pages =            {160{\textendash}168},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C15 (20C30 20H15)},
  mrnumber =         {883878 (88d:20014)},
  mrreviewer =       {Bhama Srinivasan},
  printedkey =       {Alv87}
}
@incollection{ AMW82,
  author =           {Arrell, D. G. and Manrai, S. and Worboys, M. F.},
  editor =           {Campbell, C. M. and Robertson, E. F.},
  booktitle =        {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)},
  title =            {A   procedure   for   obtaining   simplified  defining
                      relations for a subgroup},
  publisher =        {Cambridge Univ. Press},
  series =           {London Math. Soc. Lecture Note Ser.},
  volume =           {71},
  address =          {Cambridge},
  year =             {1982},
  pages =            {155{\textendash}159},
  crossref =         {GrpsStAndrews81},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}28974\texttt{\symbol{45}}2},
  mrclass =          {20F05 (20\texttt{\symbol{45}}04)},
  mrnumber =         {679157 (84a:20041)},
  keywords =         {finitely   presented  groups;  subgroup  presentation,
                      simplification;  modified  Todd  Coxeter  (mtc),  tree
                      decoding; algorithm description},
  printedkey =       {AMW82}
}
@incollection{ AR84,
  author =           {Arrell, D. G. and Robertson, E. F.},
  editor =           {Atkinson, M. D.},
  booktitle =        {Computational group theory (Durham, 1982)},
  title =            {A     modified     {T}odd\texttt{\symbol{45}}{C}oxeter
                      algorithm},
  publisher =        {Academic Press},
  address =          {London},
  year =             {1984},
  pages =            {27{\textendash}32},
  crossref =         {Durham1982},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20F05 (20\texttt{\symbol{45}}04)},
  mrnumber =         {760644 (86g:20042)},
  mrreviewer =       {I. D. Macdonald},
  keywords =         {finitely   presented  groups;  subgroup  presentation,
                      simplification;  modified  Todd  Coxeter  (mtc),  tree
                      decoding; algorithm description},
  printedkey =       {AR84}
}
@book{ Art68,
  author =           {Artin, E.},
  title =            {Galoissche {T}heorie},
  publisher =        {Verlag Harri Deutsch},
  address =          {Zurich},
  year =             {1973},
  pages =            {86},
  note =             {{\"U}bersetzung  nach  der  zweiten englischen Auflage
                      besorgt von Viktor Ziegler, Mit einem Anhang von N. A.
                      Milgram,     Zweite,     unver{\"a}nderte     Auflage,
                      Deutsch\texttt{\symbol{45}}Taschenb{\"u}cher, No. 21},
  mrclass =          {12\texttt{\symbol{45}}02},
  mrnumber =         {0392905 (52 \#13718)},
  printedkey =       {Art73}
}
@phdthesis{ Bau91,
  author =           {Baum, U.},
  title =            {Existenz   und   effiziente  {K}onstruktion  schneller
                      {F}ouriertransformationen      {\"u}beraufl{\"o}sbarer
                      {G}ruppen},
  school =           {Rheinische Friedrich Wilhelm Universit{\"a}t Bonn},
  address =          {Bonn, Germany},
  year =             {1991},
  printedkey =       {Bau91},
  type =             {Dissertation}
}
@article{ BC94,
  author =           {Baum, U. and Clausen, M.},
  title =            {Computing irreducible representations of supersolvable
                      groups},
  journal =          {Math. Comp.},
  volume =           {63},
  number =           {207},
  year =             {1994},
  pages =            {351{\textendash}359},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20C40 (20C15 68Q40)},
  mrnumber =         {1226811 (94i:20029)},
  mrreviewer =       {Wolfgang Lempken},
  printedkey =       {BC94}
}
@inproceedings{ BCFS91,
  author =           {Babai,  L.  and  Cooperman, G. and Finkelstein, L. and
                      Seress, {\a'A}.},
  booktitle =        {Proceedings of the International Symposium on Symbolic
                      and Algebraic Computation (ISSAC'91), Bonn 1991},
  title =            {Nearly  Linear  Time Algorithms for Permutation Groups
                      with a Small Base},
  publisher =        {ACM Press},
  year =             {1991},
  pages =            {200{\textendash}209},
  crossref =         {ISSAC91},
  printedkey =       {BCFS91}
}
@article{ BC76,
  author =           {Beetham, M. J. and Campbell, C. M.},
  title =            {A   note  on  the  {T}odd\texttt{\symbol{45}}{C}oxeter
                      coset enumeration algorithm},
  journal =          {Proc. Edinburgh Math. Soc. (2)},
  volume =           {20},
  number =           {1},
  year =             {1976},
  pages =            {73{\textendash}79},
  fjournal =         {Proceedings  of  the  Edinburgh  Mathematical Society.
                      Series II},
  issn =             {0013\texttt{\symbol{45}}0915},
  mrclass =          {20F05},
  mrnumber =         {0399265 (53 \#3116)},
  mrreviewer =       {D. L. Johnson},
  keywords =         {finitely   presented  groups;  subgroup  presentation;
                      modified Todd Coxeter (mtc); algorithm description},
  printedkey =       {BC76}
}
@article{ Ben76,
  author =           {Benard, M.},
  title =            {Schur  indices  and  splitting  fields  of the unitary
                      reflection groups},
  journal =          {J. Algebra},
  volume =           {38},
  number =           {2},
  year =             {1976},
  pages =            {318{\textendash}342},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C30},
  mrnumber =         {0401901 (53 \#5727)},
  mrreviewer =       {Larry C. Grove},
  printedkey =       {Ben76}
}
@article{ BC72,
  author =           {Benson, C. T. and Curtis, C. W.},
  title =            {On  the  degrees and rationality of certain characters
                      of finite {C}hevalley groups},
  journal =          {Trans. Amer. Math. Soc.},
  volume =           {165},
  year =             {1972},
  pages =            {251{\textendash}273},
  fjournal =         {Transactions of the American Mathematical Society},
  issn =             {0002\texttt{\symbol{45}}9947},
  mrclass =          {20C30},
  mrnumber =         {0304473 (46 \#3608)},
  mrreviewer =       {A. Dress},
  printedkey =       {BC72}
}
@article{ Ber76,
  author =           {Berger, T. R.},
  title =            {Characters and derived length in groups of odd order},
  journal =          {J. Algebra},
  volume =           {39},
  number =           {1},
  year =             {1976},
  pages =            {199{\textendash}207},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C15},
  mrnumber =         {0396729 (53 \#590)},
  mrreviewer =       {I. M. Isaacs},
  printedkey =       {Ber76}
}
@mastersthesis{ Besche92,
  author =           {Besche, H. U.},
  title =            {Die    {B}erechnung    von    {C}haraktergraden    und
                      {C}harakteren  endlicher  aufl{\"o}sbarer {G}ruppen im
                      {C}omputeralgebrasystem {GAP}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1992},
  printedkey =       {Bes92},
  type =             {Diplomarbeit}
}
@article{ BescheEick98,
  author =           {Besche, H. U. and Eick, B.},
  title =            {Construction of finite groups},
  journal =          {J. Symbolic Comput.},
  volume =           {27},
  number =           {4},
  year =             {1999},
  pages =            {387{\textendash}404},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20\texttt{\symbol{45}}04 (20D05 20D10)},
  mrnumber =         {1681346 (2000c:20001)},
  mrreviewer =       {Eamonn A. O'Brien},
  printedkey =       {BE99}
}
@article{ BescheEick1000,
  author =           {Besche, H. U. and Eick, B.},
  title =            {The groups of order at most 1000 except 512 and 768},
  journal =          {J. Symbolic Comput.},
  volume =           {27},
  number =           {4},
  year =             {1999},
  pages =            {405{\textendash}413},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20\texttt{\symbol{45}}04 (20D05 20D10)},
  mrnumber =         {1681347 (2000c:20002)},
  mrreviewer =       {Eamonn A. O'Brien},
  printedkey =       {BE99}
}
@article{ BescheEick768,
  author =           {Besche, H. U. and Eick, B.},
  title =            {The groups of order {$q^n \cdot p$}},
  journal =          {Comm. Algebra},
  volume =           {29},
  number =           {4},
  year =             {2001},
  pages =            {1759{\textendash}1772},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20D60},
  mrnumber =         {1853124 (2002f:20028)},
  printedkey =       {BE01}
}
@article{ BEO00,
  author =           {Besche, H. U. and Eick, B. and O'Brien, E. A.},
  title =            {The groups of order at most 2000},
  journal =          {Electron. Res. Announc. Amer. Math. Soc.},
  volume =           {7},
  year =             {2001},
  pages =            {1{\textendash}4 (electronic)},
  fjournal =         {Electronic  Research  Announcements  of  the  American
                      Mathematical Society},
  issn =             {1079\texttt{\symbol{45}}6762},
  mrclass =          {20D60},
  mrnumber =         {1826989},
  printedkey =       {BEO01}
}
@article{ BEO01,
  author =           {Besche, H. U. and Eick, B. and O'Brien, E. A.},
  title =            {A millennium project: constructing small groups},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {12},
  number =           {5},
  year =             {2002},
  pages =            {623{\textendash}644},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218\texttt{\symbol{45}}1967},
  mrclass =          {20D99},
  mrnumber =         {1935567 (2003h:20042)},
  mrreviewer =       {Robert M. Guralnick},
  printedkey =       {BEO02}
}
@article{ BFS79,
  author =           {Beyl, F. R. and Felgner, U. and Schmid, P.},
  title =            {On groups occurring as center factor groups},
  journal =          {J. Algebra},
  volume =           {61},
  number =           {1},
  year =             {1979},
  pages =            {161{\textendash}177},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20E22},
  mrnumber =         {554857 (81i:20034)},
  mrreviewer =       {Richard E. Phillips},
  printedkey =       {BFS79}
}
@article{ EOB99,
  author =           {Eick, B. and O'Brien, E. A.},
  title =            {Enumerating {$p$}\texttt{\symbol{45}}groups},
  journal =          {J. Austral. Math. Soc. Ser. A},
  volume =           {67},
  number =           {2},
  year =             {1999},
  pages =            {191{\textendash}205},
  note =             {Group theory},
  coden =            {JAMADS},
  fjournal =         {Australian  Mathematical  Society.  Journal. Series A.
                      Pure Mathematics and Statistics},
  issn =             {0263\texttt{\symbol{45}}6115},
  mrclass =          {20D15 (20J05)},
  mrnumber =         {1717413 (2000h:20033)},
  mrreviewer =       {Ph{\d a}m Anh Minh},
  printedkey =       {EO99}
}
@incollection{ EOB98,
  author =           {Eick, B. and O'Brien, E. A.},
  editor =           {Matzat, B. H. and Greuel, G.\texttt{\symbol{45}}M. and
                      Hiss, G.},
  booktitle =        {Algorithmic  algebra  and  number  theory (Heidelberg,
                      1997)},
  title =            {The groups of order {$512$}},
  publisher =        {Springer},
  address =          {Berlin},
  year =             {1999},
  pages =            {379{\textendash}380},
  note =             {Proceedings  of  Abschlusstagung des DFG Schwerpunktes
                      Algorithmische Algebra und Zahlentheorie in Heidelberg},
  mrclass =          {20D15},
  mrnumber =         {1672078 (99m:20034)},
  printedkey =       {EO99}
}
@article{ NOV04,
  author =           {Newman,    M.    F.    and    O'Brien,   E.   A.   and
                      Vaughan\texttt{\symbol{45}}Lee, M. R.},
  title =            {Groups  and  nilpotent  {L}ie rings whose order is the
                      sixth power of a prime},
  journal =          {J. Algebra},
  volume =           {278},
  number =           {1},
  year =             {2004},
  pages =            {383{\textendash}401},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20D15 (17B30)},
  mrnumber =         {2068084 (2005c:20034)},
  mrreviewer =       {Jeffrey M. Riedl},
  printedkey =       {NOV04}
}
@article{ OV05,
  author =           {O'Brien,  E. A. and Vaughan\texttt{\symbol{45}}Lee, M.
                      R.},
  title =            {The groups with order $p^7$ for odd prime $p$},
  journal =          {J. Algebra},
  volume =           {292},
  number =           {1},
  year =             {2005},
  pages =            {243{\textendash}258},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20D15 (17B30)},
  mrnumber =         {2166803 (2006d:20038)},
  printedkey =       {OV05}
}
@mastersthesis{ Gir03,
  author =           {Girnat, B.},
  title =            {{K}lassifikation   der  {G}ruppen  bis  zur  {O}rdnung
                      {$p^5$}},
  school =           {TU Braunschweig},
  address =          {Braunschweig, Germany},
  year =             {2003},
  printedkey =       {Gir03},
  type =             {Staatsexamensarbeit}
}
@article{ DEi05,
  author =           {Dietrich, H. and Eick, B.},
  title =            {On the groups of cube\texttt{\symbol{45}}free order},
  journal =          {J. Algebra},
  volume =           {292},
  number =           {1},
  year =             {2005},
  pages =            {122{\textendash}137},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20\texttt{\symbol{45}}04 (20D06 20D10)},
  mrnumber =         {2166799 (2006g:20001)},
  mrreviewer =       {Eamonn A. O'Brien},
  printedkey =       {DE05}
}
@mastersthesis{ Bis89,
  author =           {Bischops, T.},
  title =            {Collectoren im {P}rogrammsystem {GAP}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1989},
  printedkey =       {Bis89},
  type =             {Diplomarbeit}
}
@techreport{ BC92,
  author =           {Bosma, W. and Cannon, J. J.},
  title =            {Handbook of {C}ayley Functions},
  institution =      {Department of Pure Mathematics, University of Sydney},
  address =          {Sydney, Australia},
  year =             {1992},
  pages =            {282 pp.},
  keywords =         {system design; Cayley;; manual},
  printedkey =       {BC92}
}
@book{ Bou68,
  author =           {Bourbaki, N.},
  title =            {{\a'E}l{\a'e}ments   de   math{\a'e}matique.   {F}asc.
                      {XXXIV}.   {G}roupes   et   alg{\a`e}bres   de  {L}ie.
                      {C}hapitre    {IV}:    {G}roupes   de   {C}oxeter   et
                      syst{\a`e}mes  de  {T}its.  {C}hapitre  {V}: {G}roupes
                      engendr{\a'e}s  par  des  r{\a'e}flexions.  {C}hapitre
                      {VI}: syst{\a`e}mes de racines},
  publisher =        {Hermann},
  series =           {Actualit{\a'e}s  Scientifiques  et  Industrielles, No.
                      1337},
  address =          {Paris},
  year =             {1968},
  pages =            {288 pp. (loose errata)},
  mrclass =          {22.50 (17.00)},
  mrnumber =         {0240238 (39 \#1590)},
  mrreviewer =       {G. B. Seligman},
  printedkey =       {Bou68}
}
@article{ BC89,
  author =           {Brent, R. P. and Cohen, G. L.},
  title =            {A new lower bound for odd perfect numbers},
  journal =          {Math. Comp.},
  volume =           {53},
  number =           {187},
  year =             {1989},
  pages =            {431{\textendash}437, S7{\textendash}S24},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {11A25 (11Y05 11Y70)},
  mrnumber =         {968150 (89m:11008)},
  mrreviewer =       {Samuel S. Wagstaff, Jr.},
  printedkey =       {BC89}
}
@mastersthesis{ Bre91,
  author =           {Breuer, T.},
  title =            {Potenzabbildungen,             {U}ntergruppenfusionen,
                      {T}afel\texttt{\symbol{45}}{A}utomorphismen},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1991},
  printedkey =       {Bre91},
  type =             {Diplomarbeit}
}
@article{ BL96,
  author =           {Breuer, T. and Lux, K.},
  title =            {The  multiplicity\texttt{\symbol{45}}free  permutation
                      characters  of  the  sporadic  simple groups and their
                      automorphism groups},
  journal =          {Comm. Algebra},
  volume =           {24},
  number =           {7},
  year =             {1996},
  pages =            {2293{\textendash}2316},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20C34 (20D08)},
  mrnumber =         {1390375 (97c:20020)},
  mrreviewer =       {Peter Fleischmann},
  printedkey =       {BL96}
}
@article{ Bre97,
  author =           {Breuer, T.},
  title =            {Integral bases for subfields of cyclotomic fields},
  journal =          {Appl. Algebra Engrg. Comm. Comput.},
  volume =           {8},
  number =           {4},
  year =             {1997},
  pages =            {279{\textendash}289},
  coden =            {AAECEW},
  fjournal =         {Applicable  Algebra  in Engineering, Communication and
                      Computing},
  issn =             {0938\texttt{\symbol{45}}1279},
  mrclass =          {11R18},
  mrnumber =         {1464789 (99a:11120)},
  mrreviewer =       {Wieb Bosma},
  printedkey =       {Bre97}
}
@article{ BP98,
  author =           {Breuer, T. and Pfeiffer, G.},
  title =            {Finding possible permutation characters},
  journal =          {J. Symbolic Comput.},
  volume =           {26},
  number =           {3},
  year =             {1998},
  pages =            {343{\textendash}354},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20B99 (20B40 20C15 20C40)},
  mrnumber =         {1633876 (99e:20005)},
  mrreviewer =       {Cheryl E. Praeger},
  printedkey =       {BP98}
}
@inproceedings{ BreuerLinton98,
  author =           {Breuer, T. and Linton, S.},
  booktitle =        {ISSAC  '98:  Proceedings  of  the  1998  international
                      symposium on Symbolic and algebraic computation},
  title =            {The   {GAP{\nobreakspace}4}  Type  System.  Organizing
                      Algebraic Algorithms},
  publisher =        {ACM Press},
  address =          {New York, NY, USA},
  year =             {1998},
  pages =            {38{\textendash}45},
  crossref =         {ISSAC98},
  note =             {Chairman: Volker Weispfenning and Barry Trager},
  isbn =             {1\texttt{\symbol{45}}58113\texttt{\symbol{45}}002\texttt{\symbol{45}}3},
  location =         {Rostock, Germany},
  source =           {ACM Order No.: 505980, ACM member price \$25},
  printedkey =       {BL98}
}
@article{ Bre99,
  author =           {Breuer, T.},
  title =            {Computing possible class fusions from character tables},
  journal =          {Comm. Algebra},
  volume =           {27},
  number =           {6},
  year =             {1999},
  pages =            {2733{\textendash}2748},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20C15},
  mrnumber =         {1687309 (2000c:20015)},
  mrreviewer =       {J{\"u}rgen Ritter},
  printedkey =       {Bre99}
}
@inbook{ BN95,
  author =           {Breuer, T. and Norton, S. P.},
  title =            {Improvements to the {A}tlas},
  publisher =        {The Clarendon Press Oxford University Press},
  series =           {London Mathematical Society Monographs. New Series},
  volume =           {11},
  address =          {New York},
  year =             {1995},
  pages =            {297{\textendash}327},
  crossref =         {JLPW95},
  note =             {Appendix  2 by T. Breuer and S. Norton, Oxford Science
                      Publications},
  isbn =             {0\texttt{\symbol{45}}19\texttt{\symbol{45}}851481\texttt{\symbol{45}}6},
  mrclass =          {20C20 (20\texttt{\symbol{45}}00 20D06 20D08)},
  mrnumber =         {1367961 (96k:20016)},
  mrreviewer =       {J. L. Alperin},
  printedkey =       {BN95}
}
@article{ Bri71,
  author =           {Brieskorn, E.},
  title =            {Die {F}undamentalgruppe des {R}aumes der regul{\"a}ren
                      {O}rbits einer endlichen komplexen {S}piegelungsgruppe},
  journal =          {Invent. Math.},
  volume =           {12},
  year =             {1971},
  pages =            {57{\textendash}61},
  fjournal =         {Inventiones Mathematicae},
  issn =             {0020\texttt{\symbol{45}}9910},
  mrclass =          {55A05},
  mrnumber =         {0293615 (45 \#2692)},
  mrreviewer =       {L. Neuwirth},
  printedkey =       {Bri71}
}
@article{ BS72,
  author =           {Brieskorn, E. and Saito, K.},
  title =            {Artin\texttt{\symbol{45}}{G}ruppen                 und
                      {C}oxeter\texttt{\symbol{45}}{G}ruppen},
  journal =          {Invent. Math.},
  volume =           {17},
  year =             {1972},
  pages =            {245{\textendash}271},
  fjournal =         {Inventiones Mathematicae},
  issn =             {0020\texttt{\symbol{45}}9910},
  mrclass =          {20F05},
  mrnumber =         {0323910 (48 \#2263)},
  mrreviewer =       {D. E. Cohen},
  printedkey =       {BS72}
}
@article{ BM93,
  author =           {Brou{\a'e}, M. and Malle, G.},
  title =            {Zyklotomische {H}eckealgebren},
  journal =          {Ast{\a'e}risque},
  publisher =        {Soci{\a'e}t{\a'e} Math{\a'e}matique de France},
  number =           {212},
  address =          {Paris},
  year =             {1993},
  pages =            {119{\textendash}189},
  crossref =         {Asterisque212},
  note =             {Repr{\a'e}sentations  unipotentes g{\a'e}n{\a'e}riques
                      et blocs des groupes r{\a'e}ductifs finis},
  fjournal =         {Ast{\a'e}risque},
  issn =             {0303\texttt{\symbol{45}}1179},
  mrclass =          {20G40 (20C20 20H15)},
  mrnumber =         {1235834 (94m:20095)},
  mrreviewer =       {Fran{\c c}ois Digne},
  printedkey =       {BM93}
}
@article{ BMM93,
  author =           {Brou{\a'e}, M. and Malle, G. and Michel, J.},
  title =            {Generic blocks of finite reductive groups},
  journal =          {Ast{\a'e}risque},
  publisher =        {Soci{\a'e}t{\a'e} Math{\a'e}matique de France},
  number =           {212},
  address =          {Paris},
  year =             {1993},
  pages =            {7{\textendash}92},
  crossref =         {Asterisque212},
  note =             {Repr{\a'e}sentations  unipotentes g{\a'e}n{\a'e}riques
                      et blocs des groupes r{\a'e}ductifs finis},
  fjournal =         {Ast{\a'e}risque},
  issn =             {0303\texttt{\symbol{45}}1179},
  mrclass =          {20G05 (20C20)},
  mrnumber =         {1235832 (95d:20072)},
  mrreviewer =       {Bhama Srinivasan},
  printedkey =       {BMM93}
}
@book{ Asterisque212,
  author =           {Brou{\a'e}, M. and Malle, G. and Michel, J.},
  title =            {Repr{\a'e}sentations  unipotentes g{\a'e}n{\a'e}riques
                      et blocs des groupes r{\a'e}ductifs finis},
  publisher =        {Soci{\a'e}t{\a'e} Math{\a'e}matique de France},
  address =          {Paris},
  year =             {1993},
  pages =            {1{\textendash}203},
  note =             {Ast{\a'e}risque No. 212 (1993)},
  issn =             {0303\texttt{\symbol{45}}1179},
  mrclass =          {20G05},
  mrnumber =         {1235830 (94c:20078)},
  printedkey =       {BMM93}
}
@book{ Baker84,
  author =           {Baker, A.},
  title =            {A concise introduction to the theory of numbers},
  publisher =        {Cambridge University Press},
  address =          {Cambridge},
  year =             {1984},
  pages =            {xiii+95},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}24383\texttt{\symbol{45}}1;
                      0\texttt{\symbol{45}}521\texttt{\symbol{45}}28654\texttt{\symbol{45}}9},
  mrclass =          {11\texttt{\symbol{45}}01},
  mrnumber =         {781734 (86f:11001)},
  mrreviewer =       {Don Redmond},
  printedkey =       {Bak84}
}
@book{ BCN89,
  author =           {Brouwer, A. E. and Cohen, A. M. and Neumaier, A.},
  title =            {Distance\texttt{\symbol{45}}regular graphs},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Ergebnisse  der  Mathematik und ihrer Grenzgebiete (3)
                      [Results in Mathematics and Related Areas (3)]},
  volume =           {18},
  address =          {Berlin},
  year =             {1989},
  pages =            {xviii+495},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}50619\texttt{\symbol{45}}5},
  mrclass =          {05\texttt{\symbol{45}}02 (05C75)},
  mrnumber =         {1002568 (90e:05001)},
  mrreviewer =       {Joe Hemmeter},
  printedkey =       {BCN89}
}
@book{ BBNWZ78,
  author =           {Brown,  H.  and B{\"u}low, R. and Neub{\"u}ser, J. and
                      Wondratschek, H. and Zassenhaus, H.},
  title =            {Crystallographic               groups               of
                      four\texttt{\symbol{45}}dimensional space},
  publisher =        {Wiley\texttt{\symbol{45}}Interscience  [John  Wiley \&
                      Sons]},
  address =          {New York},
  year =             {1978},
  pages =            {xiv+443},
  note =             {Wiley Monographs in Crystallography},
  isbn =             {0\texttt{\symbol{45}}471\texttt{\symbol{45}}03095\texttt{\symbol{45}}3},
  mrclass =          {82.20 (20F05)},
  mrnumber =         {0484179 (58 \#4109)},
  mrreviewer =       {Daniel B. Litvin},
  printedkey =       {BBNWZ78}
}
@article{ BCMa,
  author =           {Baumslag,  G.  and Cannonito, F. B. and Miller III, C.
                      F.},
  title =            {Some recognizable properties of solvable groups},
  journal =          {Math. Z.},
  volume =           {178},
  number =           {3},
  year =             {1981},
  pages =            {289{\textendash}295},
  coden =            {MAZEAX},
  fjournal =         {Mathematische Zeitschrift},
  issn =             {0025\texttt{\symbol{45}}5874},
  mrclass =          {20F16 (03D40 20F10)},
  mrnumber =         {635200 (82k:20061)},
  mrreviewer =       {V. A. Roman{\ensuremath{'}}kov},
  printedkey =       {BCI81}
}
@article{ BCMb,
  author =           {Baumslag,  G.  and Cannonito, F. B. and Miller III, C.
                      F.},
  title =            {Computable algebra and group embeddings},
  journal =          {J. Algebra},
  volume =           {69},
  number =           {1},
  year =             {1981},
  pages =            {186{\textendash}212},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20F10 (03D40 03D45 16A53)},
  mrnumber =         {613868 (82e:20042)},
  mrreviewer =       {D. E. Cohen},
  printedkey =       {BCI81}
}
@book{ Bourbaki70,
  author =           {Bourbaki, N.},
  title =            {{\a'E}l{\a'e}ments        de        math{\a'e}matique.
                      {A}lg{\a`e}bre. {C}hapitres 1 {\a`a} 3},
  publisher =        {Hermann},
  address =          {Paris},
  year =             {1970},
  pages =            {xiii+635 pp. (not consecutively paged)},
  mrclass =          {00.00 (13.00)},
  mrnumber =         {0274237 (43 \#2)},
  mrreviewer =       {P. Samuel},
  printedkey =       {Bou70}
}
@article{ BJR87,
  author =           {Brown, R. and Johnson, D. L. and Robertson, E. F.},
  title =            {Some  computations  of  nonabelian  tensor products of
                      groups},
  journal =          {J. Algebra},
  volume =           {111},
  number =           {1},
  year =             {1987},
  pages =            {177{\textendash}202},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20F05 (20E22)},
  mrnumber =         {913203 (88m:20071)},
  mrreviewer =       {Stephen J. Pride},
  printedkey =       {BJR87}
}
@article{ BuekenhoutLeemans96,
  author =           {Buekenhout, F. and Leemans, D.},
  title =            {On  the list of finite primitive permutation groups of
                      degree {$\leq 50$}},
  journal =          {J. Symbolic Comput.},
  volume =           {22},
  number =           {2},
  year =             {1996},
  pages =            {215{\textendash}225},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20B15},
  mrnumber =         {1422147 (97g:20004)},
  printedkey =       {BL96}
}
@article{ BM83,
  author =           {Butler, G. and McKay, J.},
  title =            {The transitive groups of degree up to eleven},
  journal =          {Comm. Algebra},
  volume =           {11},
  number =           {8},
  year =             {1983},
  pages =            {863{\textendash}911},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20B05},
  mrnumber =         {695893 (84f:20005)},
  mrreviewer =       {Michael Klemm},
  printedkey =       {BM83}
}
@article{ Butler93,
  author =           {Butler, G.},
  title =            {The transitive groups of degree fourteen and fifteen},
  journal =          {J. Symbolic Comput.},
  volume =           {16},
  number =           {5},
  year =             {1993},
  pages =            {413{\textendash}422},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20B35 (20B40 68Q40)},
  mrnumber =         {1271082 (95e:20006)},
  mrreviewer =       {Gerhard Hiss},
  printedkey =       {But93}
}
@phdthesis{ Bra89,
  author =           {Bradford, R. J.},
  title =            {On  the  computation  of integral bases and defects of
                      integrity},
  school =           {School of Mathematical Sciences, University of Bath},
  address =          {Bath},
  year =             {1989},
  printedkey =       {Bra89}
}
@article{ BTW93,
  author =           {Beauzamy, B. and Trevisan, V. and Wang, P. S.},
  title =            {Polynomial   factorization:  sharp  bounds,  efficient
                      algorithms},
  journal =          {J. Symbolic Comput.},
  volume =           {15},
  number =           {4},
  year =             {1993},
  pages =            {393{\textendash}413},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {68Q40},
  mrnumber =         {1227929 (94m:68091)},
  printedkey =       {BTW93}
}
@book{ Bur55,
  author =           {Burnside, W.},
  title =            {Theory of groups of finite order},
  publisher =        {Dover Publications Inc.},
  address =          {New York},
  year =             {1955},
  pages =            {xxiv+512},
  note =             {Unabridged   republication   of  the  second  edition,
                      published in 1911},
  mrclass =          {20.0X},
  mrnumber =         {0069818 (16,1086c)},
  printedkey =       {Bur55}
}
@article{ But82,
  author =           {Butler, G.},
  title =            {Computing  in  permutation  and  matrix  groups. {II}.
                      {B}acktrack algorithm},
  journal =          {Math. Comp.},
  volume =           {39},
  number =           {160},
  year =             {1982},
  pages =            {671{\textendash}680},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20\texttt{\symbol{45}}04 (20E25 20G40)},
  mrnumber =         {669659 (83k:20004b)},
  mrreviewer =       {J. D. Dixon},
  keywords =         {permutation  groups, matrix groups;; backtrack through
                      stabilizer chain},
  printedkey =       {But82}
}
@article{ BuCa89,
  author =           {Butler, G. and Cannon, J.},
  title =            {Computing  in  permutation  and  matrix groups. {III}.
                      {S}ylow subgroups},
  journal =          {J. Symbolic Comput.},
  volume =           {8},
  number =           {3},
  year =             {1989},
  pages =            {241{\textendash}252},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20\texttt{\symbol{45}}04 (20D20)},
  mrnumber =         {1015649 (90i:20003)},
  mrreviewer =       {J. D. Dixon},
  printedkey =       {BC89}
}
@article{ But85a,
  author =           {Butler, G.},
  title =            {Effective computation with group homomorphisms},
  journal =          {J. Symbolic Comput.},
  volume =           {1},
  number =           {2},
  year =             {1985},
  pages =            {143{\textendash}157},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {68Q40 (20\texttt{\symbol{45}}04 20B99)},
  mrnumber =         {818875 (87b:68057)},
  keywords =         {permutation groups; homomorphisms},
  printedkey =       {But85}
}
@mastersthesis{ Cam71,
  author =           {Campbell, H. A.},
  title =            {An extension of coset enumeration},
  school =           {McGill University},
  address =          {Montreal, Canada},
  year =             {1971},
  keywords =         {finitely   presented  groups;  subgroup  presentation;
                      modified Todd Coxeter (mtc); program description},
  printedkey =       {Cam71},
  type =             {M. Sc. thesis}
}
@article{ Can73,
  author =           {Cannon, J. J.},
  title =            {Construction of defining relators for finite groups},
  journal =          {Discrete Math.},
  volume =           {5},
  year =             {1973},
  pages =            {105{\textendash}129},
  fjournal =         {Discrete Mathematics},
  issn =             {0012\texttt{\symbol{45}}365X},
  mrclass =          {20F05},
  mrnumber =         {0318322 (47 \#6869)},
  mrreviewer =       {H. S. M. Coxeter},
  printedkey =       {Can73}
}
@article{ Car72,
  author =           {Carter, R. W.},
  title =            {Conjugacy classes in the {W}eyl group},
  journal =          {Compositio Math.},
  volume =           {25},
  year =             {1972},
  pages =            {1{\textendash}59},
  fjournal =         {Compositio Mathematica},
  issn =             {0010\texttt{\symbol{45}}437X},
  mrclass =          {20H15 (17B20)},
  mrnumber =         {0318337 (47 \#6884)},
  mrreviewer =       {Juri A. Bahturin},
  printedkey =       {Car72}
}
@book{ Car85,
  author =           {Carter, R. W.},
  title =            {Finite groups of {L}ie type},
  publisher =        {John Wiley \& Sons Inc.},
  series =           {Pure and Applied Mathematics (New York)},
  address =          {New York},
  year =             {1985},
  pages =            {xii+544},
  note =             {Conjugacy    classes   and   complex   characters,   A
                      Wiley\texttt{\symbol{45}}Interscience Publication},
  isbn =             {0\texttt{\symbol{45}}471\texttt{\symbol{45}}90554\texttt{\symbol{45}}2},
  mrclass =          {20G40 (20\texttt{\symbol{45}}02 20C15)},
  mrnumber =         {794307 (87d:20060)},
  mrreviewer =       {David B. Surowski},
  printedkey =       {Car85}
}
@book{ Car8593,
  author =           {Carter, R. W.},
  title =            {Finite groups of {L}ie type},
  publisher =        {John Wiley \& Sons Ltd.},
  series =           {Wiley Classics Library},
  address =          {Chichester},
  year =             {1993},
  pages =            {xii+544},
  note =             {Conjugacy  classes  and complex characters, Reprint of
                      the             1985            original,            A
                      Wiley\texttt{\symbol{45}}Interscience Publication},
  isbn =             {0\texttt{\symbol{45}}471\texttt{\symbol{45}}94109\texttt{\symbol{45}}3},
  mrclass =          {20C33 (20\texttt{\symbol{45}}02 20G40)},
  mrnumber =         {1266626 (94k:20020)},
  printedkey =       {Car93}
}
@article{ Car86,
  author =           {Carter, R. W.},
  title =            {Representation          theory          of         the
                      {$0$}\texttt{\symbol{45}}{H}ecke algebra},
  journal =          {J. Algebra},
  volume =           {104},
  number =           {1},
  year =             {1986},
  pages =            {89{\textendash}103},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C15 (16A65 20G05)},
  mrnumber =         {865891 (88a:20014)},
  mrreviewer =       {David Benson},
  printedkey =       {Car86}
}
@book{ Car72a,
  author =           {Carter, R. W.},
  title =            {Simple groups of {L}ie type},
  publisher =        {John   Wiley  \&  Sons,  London\texttt{\symbol{45}}New
                      York\texttt{\symbol{45}}Sydney},
  year =             {1972},
  pages =            {viii+331},
  note =             {Pure and Applied Mathematics, Vol. 28},
  mrclass =          {20G15 (20D05 22E20)},
  mrnumber =         {0407163 (53 \#10946)},
  mrreviewer =       {Louis Solomon},
  printedkey =       {Car72}
}
@book{ Car72a89,
  author =           {Carter, R. W.},
  title =            {Simple groups of {L}ie type},
  publisher =        {John Wiley \& Sons Inc.},
  series =           {Wiley Classics Library},
  address =          {New York},
  year =             {1989},
  pages =            {x+335},
  note =             {Reprint      of      the      1972     original,     A
                      Wiley\texttt{\symbol{45}}Interscience Publication},
  isbn =             {0\texttt{\symbol{45}}471\texttt{\symbol{45}}50683\texttt{\symbol{45}}4},
  mrclass =          {20\texttt{\symbol{45}}02   (20D05  20E32  20G15  20G40
                      22\texttt{\symbol{45}}02)},
  mrnumber =         {1013112 (90g:20001)},
  printedkey =       {Car89}
}
@mastersthesis{ Cel92,
  author =           {Celler, F.},
  title =            {Kohomologie und {N}ormalisatoren in {GAP}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1992},
  printedkey =       {Cel92},
  type =             {Diplomarbeit}
}
@article{ CNW90,
  author =           {Celler, F. and Neub{\"u}ser, J. and Wright, C. R. B.},
  title =            {Some  remarks  on  the  computation of complements and
                      normalizers in soluble groups},
  journal =          {Acta Appl. Math.},
  volume =           {21},
  number =           {1\texttt{\symbol{45}}2},
  year =             {1990},
  pages =            {57{\textendash}76},
  coden =            {AAMADV},
  fjournal =         {Acta Applicandae Mathematicae. An International Survey
                      Journal   on  Applying  Mathematics  and  Mathematical
                      Applications},
  issn =             {0167\texttt{\symbol{45}}8019},
  mrclass =          {20D10 (20\texttt{\symbol{45}}04)},
  mrnumber =         {1085773 (91m:20026)},
  mrreviewer =       {Michael C. Slattery},
  printedkey =       {CNW90}
}
@article{ Cha92,
  author =           {Charney, R.},
  title =            {Artin groups of finite type are biautomatic},
  journal =          {Math. Ann.},
  volume =           {292},
  number =           {4},
  year =             {1992},
  pages =            {671{\textendash}683},
  coden =            {MAANA},
  fjournal =         {Mathematische Annalen},
  issn =             {0025\texttt{\symbol{45}}5831},
  mrclass =          {20F36 (20F10)},
  mrnumber =         {1157320 (93c:20067)},
  mrreviewer =       {D. F. Holt},
  printedkey =       {Cha92}
}
@article{ Cla97,
  author =           {Clausen, M.},
  title =            {A direct proof of {M}inkwitz's extension theorem},
  journal =          {Appl. Algebra Engrg. Comm. Comput.},
  volume =           {8},
  number =           {4},
  year =             {1997},
  pages =            {305{\textendash}306},
  coden =            {AAECEW},
  fjournal =         {Applicable  Algebra  in Engineering, Communication and
                      Computing},
  issn =             {0938\texttt{\symbol{45}}1279},
  mrclass =          {20C15},
  mrnumber =         {1464791},
  printedkey =       {Cla97}
}
@book{ Coh93,
  author =           {Cohen, H.},
  title =            {A course in computational algebraic number theory},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Graduate Texts in Mathematics},
  volume =           {138},
  address =          {Berlin},
  year =             {1993},
  pages =            {xii+534},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}55640\texttt{\symbol{45}}0},
  mrclass =          {11Y40 (11Rxx 68Q40)},
  mrnumber =         {1228206 (94i:11105)},
  mrreviewer =       {Joe P. Buhler},
  printedkey =       {Coh93}
}
@article{ Con90a,
  author =           {Conlon, S. B.},
  title =            {Calculating                characters               of
                      {$p$}\texttt{\symbol{45}}groups},
  journal =          {J. Symbolic Comput.},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {535{\textendash}550},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20C40 (20C15 20D15)},
  mrnumber =         {1075421 (91j:20033)},
  mrreviewer =       {Michael C. Slattery},
  printedkey =       {Con90}
}
@article{ Con90b,
  author =           {Conlon, S. B.},
  title =            {Computing  modular and projective character degrees of
                      soluble groups},
  journal =          {J. Symbolic Comput.},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {551{\textendash}570},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20C40 (20C15 20C20)},
  mrnumber =         {1075422 (91j:20034)},
  mrreviewer =       {Michael C. Slattery},
  printedkey =       {Con90}
}
@book{ CCN85,
  author =           {Conway,  J. H. and Curtis, R. T. and Norton, S. P. and
                      Parker, R. A. and Wilson, R. A.},
  title =            {Atlas of finite groups},
  publisher =        {Oxford University Press},
  address =          {Eynsham},
  year =             {1985},
  pages =            {xxxiv+252},
  note =             {Maximal  subgroups  and ordinary characters for simple
                      groups,  With  computational  assistance  from  J.  G.
                      Thackray},
  isbn =             {0\texttt{\symbol{45}}19\texttt{\symbol{45}}853199\texttt{\symbol{45}}0},
  mrclass =          {20D05 (20\texttt{\symbol{45}}02)},
  mrnumber =         {827219 (88g:20025)},
  mrreviewer =       {R. L. Griess},
  printedkey =       {CCNPW85}
}
@article{ ConwayHulpkeMcKay98,
  author =           {Conway, J. H. and Hulpke, A. and McKay, J.},
  title =            {On transitive permutation groups},
  journal =          {LMS J. Comput. Math.},
  volume =           {1},
  year =             {1998},
  pages =            {1{\textendash}8 (electronic)},
  fjournal =         {LMS Journal of Computation and Mathematics},
  issn =             {1461\texttt{\symbol{45}}1570},
  mrclass =          {20B05 (20B40)},
  mrnumber =         {1635715 (99g:20011)},
  mrreviewer =       {D. F. Holt},
  printedkey =       {CHM98}
}
@article{ CF94,
  author =           {Cooperman, G. and Finkelstein, L.},
  title =            {A random base change algorithm for permutation groups},
  journal =          {J. Symbolic Comput.},
  volume =           {17},
  number =           {6},
  year =             {1994},
  pages =            {513{\textendash}528},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {68Q40 (20B07)},
  mrnumber =         {1300351 (96a:68048)},
  printedkey =       {CF94}
}
@book{ CLR90,
  author =           {Cormen, T. H. and Leiserson, C. E. and Rivest, R. L.},
  title =            {Introduction to algorithms},
  publisher =        {MIT Press},
  series =           {The  MIT  Electrical  Engineering and Computer Science
                      Series},
  address =          {Cambridge, MA},
  year =             {1990},
  pages =            {xx+1028},
  isbn =             {0\texttt{\symbol{45}}262\texttt{\symbol{45}}03141\texttt{\symbol{45}}8},
  mrclass =          {68\texttt{\symbol{45}}01     (05\texttt{\symbol{45}}01
                      05C85 68Q25)},
  mrnumber =         {1066870 (91i:68001)},
  mrreviewer =       {Selim G. Akl},
  printedkey =       {CLR90}
}
@article{ CRDQ11,
  author =           {Quick, M.},
  title =            {The  primitive  permutation groups of degree less than
                      4096},
  journal =          {Comm. Algebra},
  volume =           {39},
  number =           {10},
  year =             {2011},
  pages =            {3526{\textendash}3546},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20B15},
  mrnumber =         {2845584},
  mrreviewer =       {Thomas Michael Keller},
  printedkey =       {Qui11}
}
@book{ coxlittleoshea,
  author =           {Cox, D. and Little, J. and O'Shea, D.},
  title =            {Ideals, varieties, and algorithms},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  edition =          {Second},
  series =           {Undergraduate Texts in Mathematics},
  address =          {New York},
  year =             {1997},
  pages =            {xiv+536},
  note =             {An  introduction  to  computational algebraic geometry
                      and commutative algebra},
  isbn =             {0\texttt{\symbol{45}}387\texttt{\symbol{45}}94680\texttt{\symbol{45}}2},
  mrclass =          {13P10                        (13\texttt{\symbol{45}}01
                      14\texttt{\symbol{45}}01 14Qxx 68Q40)},
  mrnumber =         {1417938 (97h:13024)},
  printedkey =       {CLO97}
}
@book{ CR81,
  author =           {Curtis, C. W. and Reiner, I.},
  title =            {Methods of representation theory. {V}ol. {I}},
  publisher =        {John Wiley \& Sons Inc.},
  address =          {New York},
  year =             {1981},
  pages =            {xxi+819},
  note =             {With  applications  to  finite groups and orders, Pure
                      and           Applied          Mathematics,          A
                      Wiley\texttt{\symbol{45}}Interscience Publication},
  isbn =             {0\texttt{\symbol{45}}471\texttt{\symbol{45}}18994\texttt{\symbol{45}}4},
  mrclass =          {20\texttt{\symbol{45}}02 (10C30 12A57 20Cxx)},
  mrnumber =         {632548 (82i:20001)},
  mrreviewer =       {J. L. Alperin},
  printedkey =       {CR81}
}
@book{ CR87,
  author =           {Curtis, C. W. and Reiner, I.},
  title =            {Methods of representation theory. {V}ol. {II}},
  publisher =        {John Wiley \& Sons Inc.},
  series =           {Pure and Applied Mathematics (New York)},
  address =          {New York},
  year =             {1987},
  pages =            {xviii+951},
  note =             {With  applications  to  finite  groups  and  orders, A
                      Wiley\texttt{\symbol{45}}Interscience Publication},
  isbn =             {0\texttt{\symbol{45}}471\texttt{\symbol{45}}88871\texttt{\symbol{45}}0},
  mrclass =          {20\texttt{\symbol{45}}02   (11Exx  18F25  19A31  19B28
                      19C99 20Cxx)},
  mrnumber =         {892316 (88f:20002)},
  mrreviewer =       {J. L. Alperin},
  printedkey =       {CR87}
}
@article{ Del72,
  author =           {Deligne, P.},
  title =            {Les     immeubles     des     groupes    de    tresses
                      g{\a'e}n{\a'e}ralis{\a'e}s},
  journal =          {Invent. Math.},
  volume =           {17},
  year =             {1972},
  pages =            {273{\textendash}302},
  fjournal =         {Inventiones Mathematicae},
  issn =             {0020\texttt{\symbol{45}}9910},
  mrclass =          {32C40 (55A25)},
  mrnumber =         {0422673 (54 \#10659)},
  mrreviewer =       {Alan H. Durfee},
  printedkey =       {Del72}
}
@article{ Deo89,
  author =           {Deodhar, V. V.},
  title =            {A  note  on  subgroups  generated  by  reflections  in
                      {C}oxeter groups},
  journal =          {Arch. Math. (Basel)},
  volume =           {53},
  number =           {6},
  year =             {1989},
  pages =            {543{\textendash}546},
  coden =            {ACVMAL},
  fjournal =         {Archiv der Mathematik},
  issn =             {0003\texttt{\symbol{45}}889X},
  mrclass =          {20H15 (20F55)},
  mrnumber =         {1023969 (91c:20063)},
  mrreviewer =       {Fran{\c c}ois Digne},
  printedkey =       {Deo89}
}
@article{ Dix67,
  author =           {Dixon, J. D.},
  title =            {High speed computation of group characters},
  journal =          {Numer. Math.},
  volume =           {10},
  year =             {1967},
  pages =            {446{\textendash}450},
  fjournal =         {Numerische Mathematik},
  issn =             {0029\texttt{\symbol{45}}599X},
  mrclass =          {20.80 (65.00)},
  mrnumber =         {0224726 (37 \#325)},
  mrreviewer =       {D. H. Lehmer},
  printedkey =       {Dix67}
}
@article{ DixonMortimer88,
  author =           {Dixon, J. D. and Mortimer, B.},
  title =            {The  primitive  permutation groups of degree less than
                      {$1000$}},
  journal =          {Math. Proc. Cambridge Philos. Soc.},
  volume =           {103},
  number =           {2},
  year =             {1988},
  pages =            {213{\textendash}238},
  coden =            {MPCPCO},
  fjournal =         {Mathematical     Proceedings    of    the    Cambridge
                      Philosophical Society},
  issn =             {0305\texttt{\symbol{45}}0041},
  mrclass =          {20B10 (20B15 20B20)},
  mrnumber =         {923674 (89b:20014)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {DM88}
}
@incollection{ Dix93,
  author =           {Dixon, J. D.},
  editor =           {Finkelstein, L. and Kantor, W. M.},
  booktitle =        {Groups and computation (New Brunswick, NJ, 1991)},
  title =            {Constructing representations of finite groups},
  publisher =        {Amer. Math. Soc.},
  series =           {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
  volume =           {11},
  address =          {Providence, RI},
  year =             {1993},
  pages =            {105{\textendash}112},
  crossref =         {DIMACS},
  isbn =             {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}6599\texttt{\symbol{45}}4},
  mrclass =          {20C15 (20C30)},
  mrnumber =         {1235797 (94h:20011)},
  mrreviewer =       {Peter Fleischmann},
  printedkey =       {Dix93}
}
@article{ Dre69,
  author =           {Dress, A.},
  title =            {A characterisation of solvable groups},
  journal =          {Math. Z.},
  volume =           {110},
  year =             {1969},
  pages =            {213{\textendash}217},
  fjournal =         {Mathematische Zeitschrift},
  issn =             {0025\texttt{\symbol{45}}5874},
  mrclass =          {20.80},
  mrnumber =         {0248239 (40 \#1491)},
  mrreviewer =       {R. Schmidt},
  printedkey =       {Dre69}
}
@manual{ DuC91,
  author =           {DuCloux, F.},
  title =            {Coxeter Version 1.0},
  organization =     {Universit{\a'e} de Lyon},
  address =          {Lyon, France},
  year =             {1991},
  printedkey =       {DuC91}
}
@article{ Dye90,
  author =           {Dyer, M.},
  title =            {Reflection subgroups of {C}oxeter systems},
  journal =          {J. Algebra},
  volume =           {135},
  number =           {1},
  year =             {1990},
  pages =            {57{\textendash}73},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20F55 (17B20 20H15)},
  mrnumber =         {1076077 (91j:20100)},
  mrreviewer =       {Robert B{\a'e}dard},
  printedkey =       {Dye90}
}
@article{ EHR91,
  author =           {Epstein, D. B. A. and Holt, D. F. and Rees, S. E.},
  title =            {The use of {K}nuth\texttt{\symbol{45}}{B}endix methods
                      to solve the word problem in automatic groups},
  journal =          {J. Symbolic Comput.},
  volume =           {12},
  number =           {4\texttt{\symbol{45}}5},
  year =             {1991},
  pages =            {397{\textendash}414},
  note =             {Computational group theory, Part 2},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {68Q40 (03D40 20F10)},
  mrnumber =         {1146506 (92m:68052)},
  mrreviewer =       {Klaus Madlener},
  printedkey =       {EHR91}
}
@incollection{ Eick97,
  author =           {Eick, B.},
  editor =           {Finkelstein, L. and Kantor, W. M.},
  booktitle =        {Groups and computation, II (New Brunswick, NJ, 1995)},
  title =            {Special  presentations  for  finite soluble groups and
                      computing          (pre\texttt{\symbol{45}}){F}rattini
                      subgroups},
  publisher =        {Amer. Math. Soc.},
  series =           {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
  volume =           {28},
  address =          {Providence, RI},
  year =             {1997},
  pages =            {101{\textendash}112},
  crossref =         {DIMACS2},
  isbn =             {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}0516\texttt{\symbol{45}}9},
  mrclass =          {20D10 (20\texttt{\symbol{45}}04)},
  mrnumber =         {1444133 (99a:20014)},
  printedkey =       {Eic97}
}
@article{ EGN97,
  author =           {Eick, B. and G{\"a}hler, F. and Nickel, W.},
  title =            {Computing maximal subgroups and {W}yckoff positions of
                      space groups},
  journal =          {Acta Cryst. Sect. A},
  volume =           {53},
  number =           {4},
  year =             {1997},
  pages =            {467{\textendash}474},
  coden =            {ACACEQ},
  fjournal =         {Acta  Crystallographica.  Section  A:  Foundations  of
                      Crystallography},
  issn =             {0108\texttt{\symbol{45}}7673},
  mrclass =          {20H15 (82D25)},
  mrnumber =         {1461658 (98g:20080)},
  mrreviewer =       {Vojt{\v e}ch Kopsk{\a'y}},
  printedkey =       {EGN97}
}
@article{ EickHoefling02,
  author =           {Eick, B. and H{\"o}fling, B.},
  title =            {The solvable primitive permutation groups of degree at
                      most 6560},
  journal =          {LMS J. Comput. Math.},
  volume =           {6},
  year =             {2003},
  pages =            {29{\textendash}39 (electronic)},
  fjournal =         {LMS Journal of Computation and Mathematics},
  issn =             {1461\texttt{\symbol{45}}1570},
  mrclass =          {20B15},
  mrnumber =         {1971491 (2004a:20005)},
  mrreviewer =       {Xianhua Li},
  printedkey =       {EH03}
}
@inproceedings{ EickHulpke01,
  author =           {Eick, B. and Hulpke, A.},
  title =            {Computing the maximal subgroups of a permutation group
                      {I}},
  pages =            {155{\textendash}168},
  crossref =         {DIMACS3},
  printedkey =       {EH}
}
@article{ Ellis98,
  author =           {Ellis, G.},
  title =            {On the capability of groups},
  journal =          {Proc. Edinburgh Math. Soc. (2)},
  volume =           {41},
  number =           {3},
  year =             {1998},
  pages =            {487{\textendash}495},
  coden =            {PRMSA3},
  fjournal =         {Proceedings  of  the  Edinburgh  Mathematical Society.
                      Series II},
  issn =             {0013\texttt{\symbol{45}}0915},
  mrclass =          {20E22 (20F28 20J05)},
  mrnumber =         {1697585 (2000e:20053)},
  mrreviewer =       {J. Wiegold},
  printedkey =       {Ell98}
}
@book{ ECHLPT92,
  author =           {Epstein,  D.  B.  A. and Cannon, J. W. and Holt, D. F.
                      and  Levy,  S. V. F. and Paterson, M. S. and Thurston,
                      W. P.},
  title =            {Word processing in groups},
  publisher =        {Jones and Bartlett Publishers},
  address =          {Boston, MA},
  year =             {1992},
  pages =            {xii+330},
  isbn =             {0\texttt{\symbol{45}}86720\texttt{\symbol{45}}244\texttt{\symbol{45}}0},
  mrclass =          {20F10 (03D40 20\texttt{\symbol{45}}02 68Q70)},
  mrnumber =         {1161694 (93i:20036)},
  mrreviewer =       {Richard M. Thomas},
  printedkey =       {ECHLPT92}
}
@incollection{ FJNT95,
  author =           {Felsch, V. and Johnson, D. L. and Neub{\"u}ser, J. and
                      Tsaranov, S. V.},
  booktitle =        {Groups '93 Galway/St Andrews, Vol. 1 (Galway, 1993)},
  title =            {The structure of certain {C}oxeter groups},
  publisher =        {Cambridge Univ. Press},
  series =           {London Math. Soc. Lecture Note Ser.},
  volume =           {211},
  address =          {Cambridge},
  year =             {1995},
  pages =            {177{\textendash}190},
  mrclass =          {20F05 (20F55)},
  mrnumber =         {1342790 (96d:20028)},
  mrreviewer =       {Daan Krammer},
  printedkey =       {FJNT95}
}
@incollection{ FS84,
  author =           {Felsch, V. and Sandl{\"o}bes, G.},
  editor =           {Atkinson, M. D.},
  booktitle =        {Computational group theory (Durham, 1982)},
  title =            {An interactive program for computing subgroups},
  publisher =        {Academic Press},
  address =          {London},
  year =             {1984},
  pages =            {137{\textendash}143},
  crossref =         {Durham1982},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20\texttt{\symbol{45}}04 (20D10 68Q99)},
  mrnumber =         {760655 (85k:20003)},
  keywords =         {groups;  subgroup  lattice,  table  of  marks;  cyclic
                      extensions; program description},
  printedkey =       {FS84}
}
@incollection{ FelschNeubueser79,
  author =           {Felsch, V. and Neub{\"u}ser, J.},
  editor =           {Ng, E. W.},
  booktitle =        {Symbolic   and  algebraic  computation  (EUROSAM  '79,
                      Internat. Sympos., Marseille, 1979)},
  title =            {An  algorithm for the computation of conjugacy classes
                      and centralizers in {$p$}\texttt{\symbol{45}}groups},
  publisher =        {Springer},
  series =           {Lecture Notes in Comput. Sci.},
  volume =           {72},
  address =          {Berlin},
  year =             {1979},
  pages =            {452{\textendash}465},
  crossref =         {EUROSAM79},
  note =             {EUROSAM   '79,  an  International  Symposium  held  in
                      Marseille, June 1979},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}09519\texttt{\symbol{45}}5},
  mrclass =          {20\texttt{\symbol{45}}04},
  mrnumber =         {575705 (82d:20003)},
  mrreviewer =       {Colin M. Campbell},
  printedkey =       {FN79}
}
@article{ Fon62,
  author =           {Fong, P.},
  title =            {Solvable groups and modular representation theory},
  journal =          {Trans. Amer. Math. Soc.},
  volume =           {103},
  year =             {1962},
  pages =            {484{\textendash}494},
  fjournal =         {Transactions of the American Mathematical Society},
  issn =             {0002\texttt{\symbol{45}}9947},
  mrclass =          {20.80},
  mrnumber =         {0139667 (25 \#3098)},
  mrreviewer =       {D. E. Littlewood},
  printedkey =       {Fon62}
}
@article{ Fra82,
  author =           {Frame, J. S.},
  title =            {Recursive computation of tensor power components},
  journal =          {Bayreuth. Math. Schr.},
  volume =           {10},
  year =             {1982},
  pages =            {153{\textendash}159},
  fjournal =         {Bayreuther Mathematische Schriften},
  issn =             {0172\texttt{\symbol{45}}1062},
  mrclass =          {20\texttt{\symbol{45}}04 (20C15)},
  mrnumber =         {667230 (84a:20001)},
  mrreviewer =       {J. McKay},
  printedkey =       {Fra82}
}
@manual{ GAP449,
  title =            {{GAP{\textendash}Groups,  Algorithms, and Programming,
                      Version 4.4.9}},
  organization =     {The GAP{\nobreakspace}Group},
  year =             {2006},
  key =              {GAP},
  url =              {\href                     {https://www.gap-system.org}
                      {\texttt{https://www.gap\texttt{\symbol{45}}system.org}}},
  keywords =         {groups; *; gap; manual}
}
@manual{ GAP4,
  title =            {{GAP{\textendash}Groups,  Algorithms, and Programming,
                      Version 4.4}},
  organization =     {The GAP{\nobreakspace}Group},
  year =             {2004},
  note =             {\href                     {https://www.gap-system.org}
                      {\texttt{https://www.gap\texttt{\symbol{45}}system.org}}},
  key =              {GAP},
  keywords =         {groups; *; gap; manual}
}
@article{ Gar69,
  author =           {Garside, F. A.},
  title =            {The braid group and other groups},
  journal =          {Quart. J. Math. Oxford Ser. (2)},
  volume =           {20},
  year =             {1969},
  pages =            {235{\textendash}254},
  fjournal =         {The  Quarterly  Journal of Mathematics. Oxford. Second
                      Series},
  mrclass =          {55.20},
  mrnumber =         {0248801 (40 \#2051)},
  mrreviewer =       {L. Neuwirth},
  printedkey =       {Gar69}
}
@article{ Gec94,
  author =           {Geck, M.},
  title =            {On        the        character        values        of
                      {I}wahori\texttt{\symbol{45}}{H}ecke    algebras    of
                      exceptional type},
  journal =          {Proc. London Math. Soc. (3)},
  volume =           {68},
  number =           {1},
  year =             {1994},
  pages =            {51{\textendash}76},
  coden =            {PLMTAL},
  fjournal =         {Proceedings  of the London Mathematical Society. Third
                      Series},
  issn =             {0024\texttt{\symbol{45}}6115},
  mrclass =          {20F55 (20C15)},
  mrnumber =         {1243835 (94i:20073)},
  mrreviewer =       {Fran{\c c}ois Digne},
  printedkey =       {Gec94}
}
@book{ Gec95,
  author =           {Geck, M.},
  title =            {Beitr{\"a}ge     zur     {D}arstellungstheorie     von
                      {I}wahori\texttt{\symbol{45}}{H}ecke {A}lgebren},
  publisher =        {Verlag der Augustinus Buchhandlung, Aachen},
  series =           {Aachener Beitr{\"a}ge zur Mathematik},
  volume =           {11},
  year =             {1995},
  printedkey =       {Gec95}
}
@article{ GK96,
  author =           {Geck, M. and Kim, S.},
  title =            {Bases  for the {B}ruhat\texttt{\symbol{45}}{C}hevalley
                      order on all finite {C}oxeter groups},
  journal =          {J. Algebra},
  volume =           {197},
  number =           {1},
  year =             {1997},
  pages =            {278{\textendash}310},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20F55 (06A07)},
  mrnumber =         {1480786 (98k:20066)},
  mrreviewer =       {Andrew Mathas},
  printedkey =       {GK97}
}
@article{ GM97,
  author =           {Geck, M. and Michel, J.},
  title =            {``{G}ood''  elements  of  finite  {C}oxeter groups and
                      representations                                     of
                      {I}wahori\texttt{\symbol{45}}{H}ecke algebras},
  journal =          {Proc. London Math. Soc. (3)},
  volume =           {74},
  number =           {2},
  year =             {1997},
  pages =            {275{\textendash}305},
  coden =            {PLMTAL},
  fjournal =         {Proceedings  of the London Mathematical Society. Third
                      Series},
  issn =             {0024\texttt{\symbol{45}}6115},
  mrclass =          {20F55 (20C20)},
  mrnumber =         {1425324 (97i:20050)},
  mrreviewer =       {Stephen P. Humphries},
  printedkey =       {GM97}
}
@article{ GP93,
  author =           {Geck, M. and Pfeiffer, G.},
  title =            {On the irreducible characters of {H}ecke algebras},
  journal =          {Adv. Math.},
  volume =           {102},
  number =           {1},
  year =             {1993},
  pages =            {79{\textendash}94},
  coden =            {ADMTA4},
  fjournal =         {Advances in Mathematics},
  issn =             {0001\texttt{\symbol{45}}8708},
  mrclass =          {20C15},
  mrnumber =         {1250466 (94m:20018)},
  mrreviewer =       {Hiroshi Naruse},
  printedkey =       {GP93}
}
@article{ Chv96,
  author =           {Geck, M. and Hiss, G. and L{\"u}beck, F. and Malle, G.
                      and Pfeiffer, G.},
  title =            {C{HEVIE}{\textendash}a   system   for   computing  and
                      processing generic character tables},
  journal =          {Appl. Algebra Engrg. Comm. Comput.},
  volume =           {7},
  number =           {3},
  year =             {1996},
  pages =            {175{\textendash}210},
  note =             {Computational methods in Lie theory (Essen, 1994)},
  coden =            {AAECEW},
  fjournal =         {Applicable  Algebra  in Engineering, Communication and
                      Computing},
  issn =             {0938\texttt{\symbol{45}}1279},
  mrclass =          {20C40 (20C33)},
  mrnumber =         {1486215 (99m:20017)},
  printedkey =       {GHLMP96}
}
@phdthesis{ Gla87,
  author =           {Glasby, S. P.},
  title =            {Computational  Approaches  to  the  Theory  of  Finite
                      Soluble Groups},
  school =           {Department of Pure Mathematics, University of Sydney},
  address =          {Sydney, Australia},
  year =             {1987},
  printedkey =       {Gla87},
  type =             {Phd thesis}
}
@article{ GS90,
  author =           {Glasby, S. P. and Slattery, M. C.},
  title =            {Computing  intersections  and  normalizers  in soluble
                      groups},
  journal =          {J. Symbolic Comput.},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {637{\textendash}651},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20D10},
  mrnumber =         {1075428 (91j:20044)},
  mrreviewer =       {Patrizia Longobardi},
  printedkey =       {GS90}
}
@book{ GKP90,
  author =           {Graham, R. L. and Knuth, D. E. and Patashnik, O.},
  title =            {Concrete mathematics},
  publisher =        {Addison\texttt{\symbol{45}}Wesley  Publishing  Company
                      Advanced Book Program},
  address =          {Reading, MA},
  year =             {1989},
  pages =            {xiv+625},
  note =             {A foundation for computer science},
  isbn =             {0\texttt{\symbol{45}}201\texttt{\symbol{45}}14236\texttt{\symbol{45}}8},
  mrclass =          {00A05                        (00\texttt{\symbol{45}}01
                      05\texttt{\symbol{45}}01      68\texttt{\symbol{45}}01
                      68Rxx)},
  mrnumber =         {1001562 (91f:00001)},
  mrreviewer =       {Volker Strehl},
  printedkey =       {GKP89}
}
@article{ HalvRam94,
  author =           {Halverson, T. and Ram, A.},
  title =            {Murnaghan\texttt{\symbol{45}}{N}akayama    rules   for
                      characters   of   {I}wahori\texttt{\symbol{45}}{H}ecke
                      algebras of classical type},
  journal =          {Trans. Amer. Math. Soc.},
  volume =           {348},
  number =           {10},
  year =             {1996},
  pages =            {3967{\textendash}3995},
  coden =            {TAMTAM},
  fjournal =         {Transactions of the American Mathematical Society},
  issn =             {0002\texttt{\symbol{45}}9947},
  mrclass =          {20C15},
  mrnumber =         {1322951 (96m:20011)},
  mrreviewer =       {Fran{\c c}ois Digne},
  printedkey =       {HR96}
}
@book{ Hah83,
  editor =           {Hahn, T.},
  title =            {International tables for crystallography. {V}ol. {A}},
  publisher =        {Published  for International Union of Crystallography,
                      Chester},
  year =             {1983},
  pages =            {xv+854},
  note =             {Space\texttt{\symbol{45}}group symmetry},
  isbn =             {90\texttt{\symbol{45}}277\texttt{\symbol{45}}1445\texttt{\symbol{45}}2},
  mrclass =          {82A60 (00A69 20C35 20H15 82\texttt{\symbol{45}}02)},
  mrnumber =         {817988 (87i:82092)},
  mrreviewer =       {Vojt{\v e}ch Kopsk{\a'y}},
  printedkey =       {Hah83}
}
@book{ Hah95,
  editor =           {Hahn, T.},
  booktitle =        {International      Tables     for     Crystallography,
                      \texttt{\symbol{123}}V\texttt{\symbol{125}}ol.
                      \texttt{\symbol{123}}A\texttt{\symbol{125}}},
  title =            {International Tables for Crystallography, {V}ol. {A}},
  publisher =        {Kluwer, Dordrecht},
  edition =          {4th},
  year =             {1995},
  note =             {Space\texttt{\symbol{45}}group symmetry},
  printedkey =       {Hah95}
}
@book{ Hall,
  author =           {Hall Jr., M.},
  title =            {The theory of groups},
  publisher =        {The Macmillan Co.},
  address =          {New York, N.Y.},
  year =             {1959},
  pages =            {xiii+434},
  mrclass =          {20.00},
  mrnumber =         {0103215 (21 \#1996)},
  mrreviewer =       {R. H. Bruck},
  printedkey =       {HJ59}
}
@book{ HS64,
  author =           {Hall Jr., M. and Senior, J. K.},
  title =            {The groups of order {$2^{n} (n \leq 6)$}},
  publisher =        {The Macmillan Co.},
  address =          {New York},
  year =             {1964},
  pages =            {225},
  mrclass =          {20.00},
  mrnumber =         {0168631 (29 \#5889)},
  mrreviewer =       {Michael Rosen},
  printedkey =       {JS64}
}
@article{ Hal36,
  author =           {Hall, P.},
  title =            {The {E}ulerian functions of a group},
  journal =          {Quarterly J. Of Mathematics},
  volume =           {os\texttt{\symbol{45}}7},
  number =           {1},
  year =             {1936},
  pages =            {134{\textendash}151},
  printedkey =       {Hal36}
}
@phdthesis{ Han88,
  author =           {Hanrath, W.},
  title =            {Irreduzible {D}arstellungen von {R}aumgruppen},
  school =           {Rheinisch Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1988},
  printedkey =       {Han88},
  type =             {Dissertation}
}
@techreport{ Hav69,
  author =           {Havas, G.},
  title =            {Symbolic and Algebraic Calculation},
  institution =      {Basser  Department  of Computer Science, University of
                      Sydney},
  number =           {89},
  address =          {Sydney, Australia},
  year =             {1969},
  keywords =         {finitely   presented  groups;  simplification;  Tietze
                      transformations},
  printedkey =       {Hav69},
  type =             {Basser Computing Dept., Technical Report}
}
@inproceedings{ Hav74b,
  author =           {Havas, G.},
  editor =           {Newman, M. F.},
  booktitle =        {Proceedings  of the Second International Conference on
                      the Theory of Groups (Australian Nat. Univ., Canberra,
                      1973)},
  title =            {A {R}eidemeister\texttt{\symbol{45}}{S}chreier program},
  publisher =        {Springer},
  series =           {Lecture Notes in Math.},
  volume =           {372},
  address =          {Berlin},
  year =             {1974},
  pages =            {347{\textendash}356. Lecture Notes in Math., Vol. 372},
  crossref =         {Canberra73},
  note =             {Held  at the Australian National University, Canberra,
                      August  13{\textendash}24,  1973, With an introduction
                      by  B.  H. Neumann, Lecture Notes in Mathematics, Vol.
                      372},
  mrclass =          {20\texttt{\symbol{45}}04},
  mrnumber =         {0376827 (51 \#13002)},
  mrreviewer =       {F. Levin},
  reviews =          {MR 49\#9054, Zbl 282.00012},
  keywords =         {finitely   presented  groups;  subgroup  presentation;
                      Reidemeister Schreier (rs); program description},
  printedkey =       {Hav74}
}
@inproceedings{ Hav91,
  author =           {Havas, G.},
  booktitle =        {Proceedings of the International Symposium on Symbolic
                      and Algebraic Computation (ISSAC'91), Bonn 1991},
  title =            {Coset enumeration strategies},
  publisher =        {ACM Press},
  year =             {1991},
  pages =            {191{\textendash}199},
  crossref =         {ISSAC91},
  printedkey =       {Hav91}
}
@article{ HM97,
  author =           {Havas, G. and Majewski, B. S.},
  title =            {Integer matrix diagonalization},
  journal =          {J. Symbolic Comput.},
  volume =           {24},
  number =           {3\texttt{\symbol{45}}4},
  year =             {1997},
  pages =            {399{\textendash}408},
  note =             {Computational algebra and number theory (London, 1993)},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {65F30 (65Y20)},
  mrnumber =         {1484488 (98g:65039)},
  printedkey =       {HM97}
}
@incollection{ HN80,
  author =           {Havas, G. and Newman, M. F.},
  editor =           {Mennicke, J. L.},
  booktitle =        {Burnside  groups  (Proc.  Workshop,  Univ.  Bielefeld,
                      Bielefeld, 1977)},
  title =            {Application  of  computers  to questions like those of
                      {B}urnside},
  publisher =        {Springer},
  series =           {Lecture Notes in Math.},
  volume =           {806},
  address =          {Berlin},
  year =             {1980},
  pages =            {211{\textendash}230},
  crossref =         {Bielefeld77},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}10006\texttt{\symbol{45}}7},
  mrclass =          {20\texttt{\symbol{45}}04 (20F50)},
  mrnumber =         {586047 (82d:20002)},
  mrreviewer =       {Colin M. Campbell},
  reviews =          {MR 81j:20002, Zbl 424.00008},
  keywords =         {finitely presentend groups; Burnside groups; nilpotent
                      quotient},
  printedkey =       {HN80}
}
@incollection{ HKRR84,
  author =           {Havas,  G.  and Kenne, P. E. and Richardson, J. S. and
                      Robertson, E. F.},
  editor =           {Atkinson, M. D.},
  booktitle =        {Computational group theory (Durham, 1982)},
  title =            {A {T}ietze transformation program},
  publisher =        {Academic Press},
  address =          {London},
  year =             {1984},
  pages =            {69{\textendash}73},
  crossref =         {Durham1982},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20F05 (20\texttt{\symbol{45}}04)},
  mrnumber =         {760651 (86b:20039)},
  keywords =         {finitely presented groups; simplification; Tietze},
  printedkey =       {HKRR84}
}
@article{ HIO89,
  author =           {Hawkes, T. and Isaacs, I. M. and {\"O}zaydin, M.},
  title =            {On the {M}{\"o}bius function of a finite group},
  journal =          {Rocky Mountain J. Math.},
  volume =           {19},
  number =           {4},
  year =             {1989},
  pages =            {1003{\textendash}1034},
  coden =            {RMJMAE},
  fjournal =         {The Rocky Mountain Journal of Mathematics},
  issn =             {0035\texttt{\symbol{45}}7596},
  mrclass =          {20D30},
  mrnumber =         {1039540 (90k:20046)},
  mrreviewer =       {David Gluck},
  printedkey =       {HI{\"O}89}
}
@misc{ HJLP92,
  author =           {Hiss, G. and Jansen, C. and Lux, K. and Parker, R. A.},
  title =            {Computational {M}odular {C}haracter {T}heory},
  howpublished =     {\href {https://www.math.rwth-aachen.de/~MOC/CoMoChaT/}
                      {\texttt{https://www.math.rwth\texttt{\symbol{45}}aachen.de/}\discretionary
                      {}{}{}\texttt{\texttt{\symbol{126}}MOC/}\discretionary
                      {}{}{}\texttt{CoMoChaT/}}},
  printedkey =       {HJLP}
}
@incollection{ Holt94,
  author =           {Holt, D. F.},
  booktitle =        {Geometric  and  computational perspectives on infinite
                      groups (Minneapolis, MN and New Brunswick, NJ, 1994)},
  title =            {The {W}arwick automatic groups software},
  publisher =        {Amer. Math. Soc.},
  series =           {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
  volume =           {25},
  address =          {Providence, RI},
  year =             {1996},
  pages =            {69{\textendash}82},
  mrclass =          {20F10 (03D40 20\texttt{\symbol{45}}04 68Q40)},
  mrnumber =         {1364180 (96m:20052)},
  mrreviewer =       {Sarah E. Rees},
  printedkey =       {Hol96}
}
@article{ HLOR96a,
  author =           {Holt,  D.  F. and Leedham\texttt{\symbol{45}}Green, C.
                      R. and O'Brien, E. A. and Rees, S.},
  title =            {Computing  matrix group decompositions with respect to
                      a normal subgroup},
  journal =          {J. Algebra},
  volume =           {184},
  number =           {3},
  year =             {1996},
  pages =            {818{\textendash}838},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C40 (20B40)},
  mrnumber =         {1407872 (97m:20021)},
  mrreviewer =       {Wolfgang Lempken},
  printedkey =       {HLOR96}
}
@article{ HLOR96b,
  author =           {Holt,  D.  F. and Leedham\texttt{\symbol{45}}Green, C.
                      R. and O'Brien, E. A. and Rees, S.},
  title =            {Testing matrix groups for primitivity},
  journal =          {J. Algebra},
  volume =           {184},
  number =           {3},
  year =             {1996},
  pages =            {795{\textendash}817},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C40 (20B40)},
  mrnumber =         {1407871 (97m:20020)},
  mrreviewer =       {Wolfgang Lempken},
  printedkey =       {HLOR96}
}
@book{ HP89,
  author =           {Holt, D. F. and Plesken, W.},
  title =            {Perfect groups},
  publisher =        {The Clarendon Press Oxford University Press},
  series =           {Oxford Mathematical Monographs},
  address =          {New York},
  year =             {1989},
  pages =            {xii+364},
  note =             {With   an  appendix  by  W.  Hanrath,  Oxford  Science
                      Publications},
  isbn =             {0\texttt{\symbol{45}}19\texttt{\symbol{45}}853559\texttt{\symbol{45}}7},
  mrclass =          {20D05 (20F05)},
  mrnumber =         {1025760 (91c:20029)},
  mrreviewer =       {M. Ram Murty},
  printedkey =       {HP89}
}
@article{ HR94,
  author =           {Holt, D. F. and Rees, S.},
  title =            {Testing modules for irreducibility},
  journal =          {J. Austral. Math. Soc. Ser. A},
  volume =           {57},
  number =           {1},
  year =             {1994},
  pages =            {1{\textendash}16},
  coden =            {JAMADS},
  fjournal =         {Australian  Mathematical  Society.  Journal. Series A.
                      Pure Mathematics and Statistics},
  issn =             {0263\texttt{\symbol{45}}6115},
  mrclass =          {20C40},
  mrnumber =         {1279282 (95e:20023)},
  mrreviewer =       {Herbert Pahlings},
  printedkey =       {HR94}
}
@book{ HEO05,
  author =           {Holt, D. F. and Eick, B. and O'Brien, E. A.},
  title =            {Handbook of Computational Group Theory},
  publisher =        {Chapman {\nobreakspace} Hall/CRC},
  series =           {Discrete mathematics and its applications},
  address =          {New York},
  year =             {2005},
  isbn =             {1\texttt{\symbol{45}}584\texttt{\symbol{45}}88372\texttt{\symbol{45}}3},
  printedkey =       {HEO05}
}
@incollection{ HR99a,
  author =           {Havas, G. and Ramsay, C.},
  editor =           {Kantor, W. M. and Seress, {\a'A}.},
  booktitle =        {Groups and computation, III (Columbus, OH, 1999)},
  title =            {Experiments in coset enumeration},
  publisher =        {de Gruyter},
  series =           {Ohio State Univ. Math. Res. Inst. Publ.},
  volume =           {8},
  address =          {Berlin},
  year =             {2001},
  pages =            {183{\textendash}192},
  crossref =         {DIMACS3},
  isbn =             {3\texttt{\symbol{45}}11\texttt{\symbol{45}}016721\texttt{\symbol{45}}2},
  mrclass =          {20F05 (20\texttt{\symbol{45}}04)},
  mrnumber =         {1829479 (2002e:20064)},
  mrreviewer =       {Sarah E. Rees},
  printedkey =       {HR01}
}
@article{ HR99b,
  author =           {Havas, G. and Ramsay, C.},
  title =            {Proving  a  group  trivial  made easy: a case study in
                      coset enumeration},
  journal =          {Bull. Austral. Math. Soc.},
  volume =           {62},
  number =           {1},
  year =             {2000},
  pages =            {105{\textendash}118},
  coden =            {ALNBAB},
  fjournal =         {Bulletin of the Australian Mathematical Society},
  issn =             {0004\texttt{\symbol{45}}9727},
  mrclass =          {20F05},
  mrnumber =         {1775892 (2002j:20061)},
  mrreviewer =       {E. F. Robertson},
  printedkey =       {HR00}
}
@book{ Howie76,
  author =           {Howie, J. M.},
  title =            {An introduction to semigroup theory},
  publisher =        {Academic Press [Harcourt Brace Jovanovich Publishers]},
  address =          {London},
  year =             {1976},
  pages =            {x+272},
  note =             {L.M.S. Monographs, No. 7},
  mrclass =          {20MXX},
  mrnumber =         {0466355 (57 \#6235)},
  mrreviewer =       {T. E. Hall},
  printedkey =       {How76}
}
@mastersthesis{ Hulpke93,
  author =           {Hulpke, A.},
  title =            {{Zur Berechnung von Charaktertafeln}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  year =             {1993},
  printedkey =       {Hul93},
  type =             {Diplomarbeit}
}
@phdthesis{ Hulpke96,
  author =           {Hulpke, A.},
  title =            {Konstruktion transitiver {P}ermutationsgruppen},
  publisher =        {Verlag der Augustinus Buchhandlung, Aachen},
  school =           {Rheinisch Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1996},
  printedkey =       {Hul96},
  type =             {Dissertation}
}
@inproceedings{ Hulpke98,
  author =           {Hulpke, A.},
  booktitle =        {Proceedings  of  the  1998  International Symposium on
                      Symbolic and Algebraic Computation (Rostock)},
  title =            {Computing normal subgroups},
  publisher =        {ACM},
  address =          {New York},
  year =             {1998},
  pages =            {194{\textendash}198 (electronic)},
  crossref =         {ISSAC98},
  note =             {Chairman: Volker Weispfenning and Barry Trager},
  isbn =             {1\texttt{\symbol{45}}58113\texttt{\symbol{45}}002\texttt{\symbol{45}}3},
  location =         {Rostock, Germany},
  mrclass =          {20\texttt{\symbol{45}}04 (68W30)},
  mrnumber =         {1805183},
  source =           {ACM Order No.: 505980, ACM member price \$25},
  printedkey =       {Hul98}
}
@article{ Hulpke99,
  author =           {Hulpke, A.},
  title =            {Computing   subgroups   invariant   under   a  set  of
                      automorphisms},
  journal =          {J. Symbolic Comput.},
  volume =           {27},
  number =           {4},
  year =             {1999},
  pages =            {415{\textendash}427},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20\texttt{\symbol{45}}04 (20D30)},
  mrnumber =         {1681348 (2000a:20001)},
  mrreviewer =       {D. F. Holt},
  printedkey =       {Hul99}
}
@article{ HulpkeClasses,
  author =           {Hulpke, A.},
  title =            {Conjugacy  classes  in  finite  permutation groups via
                      homomorphic images},
  journal =          {Math. Comp.},
  volume =           {69},
  number =           {232},
  year =             {2000},
  pages =            {1633{\textendash}1651},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20B40},
  mrnumber =         {1659847 (2001a:20006)},
  mrreviewer =       {Alberto Delgado},
  printedkey =       {Hul00}
}
@article{ HulpkeQuot,
  author =           {Hulpke, A.},
  title =            {Representing subgroups of finitely presented groups by
                      quotient subgroups},
  journal =          {Experiment. Math.},
  volume =           {10},
  number =           {3},
  year =             {2001},
  pages =            {369{\textendash}381},
  fjournal =         {Experimental Mathematics},
  issn =             {1058\texttt{\symbol{45}}6458},
  mrclass =          {20F05 (20C34 20C40 68W30)},
  mrnumber =         {1917425 (2003i:20049)},
  mrreviewer =       {Dmitrii V. Pasechnik},
  printedkey =       {Hul01}
}
@article{ HulpkeTG,
  author =           {Hulpke, A.},
  title =            {Constructing transitive permutation groups},
  journal =          {J. Symbolic Comput.},
  volume =           {39},
  number =           {1},
  year =             {2005},
  pages =            {1{\textendash}30},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20B10 (20B35)},
  mrnumber =         {2168238 (2006e:20004)},
  mrreviewer =       {J. Quistorff},
  printedkey =       {Hul05}
}
@book{ Hum72,
  author =           {Humphreys, J. E.},
  title =            {Introduction  to  {L}ie  algebras  and  representation
                      theory},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  address =          {New York},
  year =             {1972},
  pages =            {xii+169},
  note =             {Graduate Texts in Mathematics, Vol. 9},
  mrclass =          {17BXX},
  mrnumber =         {0323842 (48 \#2197)},
  mrreviewer =       {F. W. Lemire},
  printedkey =       {Hum72}
}
@book{ Hum78,
  author =           {Humphreys, J. E.},
  title =            {Introduction  to  {L}ie  algebras  and  representation
                      theory},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Graduate Texts in Mathematics},
  volume =           {9},
  address =          {New York},
  year =             {1978},
  pages =            {xii+171},
  note =             {Second printing, revised},
  isbn =             {0\texttt{\symbol{45}}387\texttt{\symbol{45}}90053\texttt{\symbol{45}}5},
  mrclass =          {17Bxx},
  mrnumber =         {499562 (81b:17007)},
  mrreviewer =       {I. P. Shestakov},
  printedkey =       {Hum78}
}
@book{ Hum90,
  author =           {Humphreys, J. E.},
  title =            {Reflection groups and {C}oxeter groups},
  publisher =        {Cambridge University Press},
  series =           {Cambridge Studies in Advanced Mathematics},
  volume =           {29},
  address =          {Cambridge},
  year =             {1990},
  pages =            {xii+204},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}37510\texttt{\symbol{45}}X},
  mrclass =          {20\texttt{\symbol{45}}02 (20F32 20F55 20G15 20H15)},
  mrnumber =         {1066460 (92h:20002)},
  mrreviewer =       {Louis Solomon},
  printedkey =       {Hum90}
}
@book{ Hum90,
  author =           {Humphreys, J. E.},
  title =            {Reflection groups and {C}oxeter groups},
  publisher =        {Cambridge University Press},
  series =           {Cambridge Studies in Advanced Mathematics},
  volume =           {29},
  address =          {Cambridge},
  year =             {1990},
  pages =            {xii+204},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}37510\texttt{\symbol{45}}X},
  mrclass =          {20\texttt{\symbol{45}}02 (20F32 20F55 20G15 20H15)},
  mrnumber =         {1066460 (92h:20002)},
  mrreviewer =       {Louis Solomon},
  printedkey =       {Hum90}
}
@book{ Hup67,
  author =           {Huppert, B.},
  title =            {Endliche {G}ruppen. {I}},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Die  Grundlehren  der  Mathematischen  Wissenschaften,
                      Band 134},
  address =          {Berlin},
  year =             {1967},
  pages =            {xii+793},
  mrclass =          {20.25},
  mrnumber =         {0224703 (37 \#302)},
  mrreviewer =       {J. H. Walter},
  printedkey =       {Hup67}
}
@book{ Hup82,
  author =           {Huppert, B. and Blackburn, N.},
  title =            {Finite groups. {II}},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Grundlehren Math. Wiss.},
  volume =           {242},
  address =          {Berlin},
  year =             {1982},
  pages =            {xiii+531},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}10632\texttt{\symbol{45}}4},
  mrclass =          {20\texttt{\symbol{45}}02 (20Dxx)},
  mrnumber =         {650245 (84i:20001a)},
  printedkey =       {HB82}
}
@book{ Hup98,
  author =           {Huppert, B.},
  title =            {Character theory of finite groups},
  publisher =        {Walter de Gruyter \& Co.},
  series =           {de Gruyter Expositions in Mathematics},
  volume =           {25},
  address =          {Berlin},
  year =             {1998},
  pages =            {vi+618},
  isbn =             {3\texttt{\symbol{45}}11\texttt{\symbol{45}}015421\texttt{\symbol{45}}8},
  mrclass =          {20C15 (20C05 20C10)},
  mrnumber =         {1645304 (99j:20011)},
  mrreviewer =       {Gerhard Hiss},
  printedkey =       {Hup98}
}
@book{ Isa76,
  author =           {Isaacs, I. M.},
  title =            {Character theory of finite groups},
  publisher =        {Academic Press [Harcourt Brace Jovanovich Publishers]},
  address =          {New York},
  year =             {1976},
  pages =            {xii+303},
  note =             {Pure and Applied Mathematics, No. 69},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}374550\texttt{\symbol{45}}0},
  mrclass =          {20\texttt{\symbol{45}}02},
  mrnumber =         {0460423 (57 \#417)},
  mrreviewer =       {Stephen D. Smith},
  printedkey =       {Isa76}
}
@article{ IshibashiEarnest94,
  author =           {Ishibashi, H. and Earnest, A. G.},
  title =            {Two\texttt{\symbol{45}}element      generation      of
                      orthogonal groups over finite fields},
  journal =          {J. Algebra},
  volume =           {165},
  number =           {1},
  year =             {1994},
  pages =            {164{\textendash}171},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20G40 (20F05)},
  mrnumber =         {1272584 (95b:20069)},
  mrreviewer =       {Jia\texttt{\symbol{45}}Chen Ye},
  printedkey =       {IE94}
}
@article{ MR1398123,
  author =           {Ishibashi, H. and Earnest, A. G.},
  title =            {Addendum:           ``{T}wo\texttt{\symbol{45}}element
                      generation  of  orthogonal groups over finite fields''
                      [{J}.    {A}lgebra    {\bf   165}   (1994),   no.   1,
                      164{\textendash}171; {MR}1272584 (95b:20069)]},
  journal =          {J. Algebra},
  volume =           {182},
  number =           {3},
  year =             {1996},
  pages =            {805},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20G40 (20F05)},
  mrnumber =         {1398123 (97d:20061)},
  printedkey =       {IE96}
}
@article{ MR1305274,
  author =           {Ishibashi, H. and Earnest, A. G.},
  title =            {Erratum: ``{T}wo\texttt{\symbol{45}}element generation
                      of   orthogonal  groups  over  finite  fields''  [{J}.
                      {A}lgebra     {\bf     165}     (1994),     no.     1,
                      164{\textendash}171; {MR}1272584 (95b:20069)]},
  journal =          {J. Algebra},
  volume =           {170},
  number =           {3},
  year =             {1994},
  pages =            {1035},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20G40 (20F05)},
  mrnumber =         {1305274 (95h:20062)},
  printedkey =       {IE94}
}
@book{ JLPW95,
  author =           {Jansen, C. and Lux, K. and Parker, R. and Wilson, R.},
  title =            {An atlas of {B}rauer characters},
  publisher =        {The Clarendon Press Oxford University Press},
  series =           {London Mathematical Society Monographs. New Series},
  volume =           {11},
  address =          {New York},
  year =             {1995},
  pages =            {xviii+327},
  note =             {Appendix  2 by T. Breuer and S. Norton, Oxford Science
                      Publications},
  isbn =             {0\texttt{\symbol{45}}19\texttt{\symbol{45}}851481\texttt{\symbol{45}}6},
  mrclass =          {20C20 (20\texttt{\symbol{45}}00 20D06 20D08)},
  mrnumber =         {1367961 (96k:20016)},
  mrreviewer =       {J. L. Alperin},
  printedkey =       {JLPW95}
}
@book{ Joh97,
  author =           {Johnson, D. L.},
  title =            {Presentations of groups},
  publisher =        {Cambridge University Press},
  edition =          {Second},
  series =           {London Mathematical Society Student Texts},
  volume =           {15},
  address =          {Cambridge},
  year =             {1997},
  pages =            {xii+216},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}58542\texttt{\symbol{45}}2},
  mrclass =          {20\texttt{\symbol{45}}01 (20F05)},
  mrnumber =         {1472735 (98e:20001)},
  printedkey =       {Joh97}
}
@mastersthesis{ Kaup92,
  author =           {Kaup, A.},
  title =            {Gitterbasen und {C}haraktere endlicher {G}ruppen},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1992},
  printedkey =       {Kau92},
  type =             {Diplomarbeit}
}
@article{ KL79,
  author =           {Kazhdan, D. and Lusztig, G.},
  title =            {Representations   of   {C}oxeter  groups  and  {H}ecke
                      algebras},
  journal =          {Invent. Math.},
  volume =           {53},
  number =           {2},
  year =             {1979},
  pages =            {165{\textendash}184},
  coden =            {INVMBH},
  fjournal =         {Inventiones Mathematicae},
  issn =             {0020\texttt{\symbol{45}}9910},
  mrclass =          {20H15 (17B35 20G05 22E47)},
  mrnumber =         {560412 (81j:20066)},
  mrreviewer =       {Vinay V. Deodhar},
  printedkey =       {KL79}
}
@article{ KLM01,
  author =           {Kemper, G. and L{\"u}beck, F. and Magaard, K.},
  title =            {Matrix generators for the {R}ee groups {${}^2G_2(q)$}},
  journal =          {Comm. Algebra},
  volume =           {29},
  number =           {1},
  year =             {2001},
  pages =            {407{\textendash}413},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20C33 (20D06)},
  mrnumber =         {1842506 (2002e:20025)},
  printedkey =       {KLM01}
}
@book{ Ker91,
  author =           {Kerber, A.},
  title =            {Algebraic combinatorics via finite group actions},
  publisher =        {Bibliographisches Institut},
  address =          {Mannheim},
  year =             {1991},
  pages =            {436},
  isbn =             {3\texttt{\symbol{45}}411\texttt{\symbol{45}}14521\texttt{\symbol{45}}8},
  mrclass =          {05E10 (20C30)},
  mrnumber =         {1115208 (92k:05130)},
  mrreviewer =       {A. O. Morris},
  printedkey =       {Ker91}
}
@article{ KimmerleLyonsSandlingTeague90,
  author =           {Kimmerle,  W.  and  Lyons,  R.  and  Sandling,  R. and
                      Teague, D. N.},
  title =            {Composition  factors from the group ring and {A}rtin's
                      theorem on orders of simple groups},
  journal =          {Proc. London Math. Soc. (3)},
  volume =           {60},
  number =           {1},
  year =             {1990},
  pages =            {89\texttt{\symbol{45}}\texttt{\symbol{45}}122},
  coden =            {PLMTAL},
  fjournal =         {Proceedings  of the London Mathematical Society. Third
                      Series},
  issn =             {0024\texttt{\symbol{45}}6115},
  mrclass =          {20D06 (20C05 20D60)},
  mrnumber =         {1023806 (91c:20030)},
  mrreviewer =       {P. Fong},
  printedkey =       {KLST90}
}
@book{ KleidmanLiebeck90,
  author =           {Kleidman, P. and Liebeck, M.},
  title =            {The subgroup structure of the finite classical groups},
  publisher =        {Cambridge University Press},
  series =           {London Mathematical Society Lecture Note Series},
  volume =           {129},
  address =          {Cambridge},
  year =             {1990},
  pages =            {x+303},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}35949\texttt{\symbol{45}}X},
  mrclass =          {20\texttt{\symbol{45}}02 (20D06 20G40)},
  mrnumber =         {1057341 (91g:20001)},
  mrreviewer =       {R. W. Carter},
  printedkey =       {KL90}
}
@article{ Klimyk66,
  author =           {Klimyk, A. U.},
  title =            {Decomposition  of  the  direct  product of irreducible
                      representations  of  semisimple  {L}ie  algebras  into
                      irreducible representations},
  journal =          {Ukrain. Mat. {\v Z}.},
  volume =           {18},
  number =           {5},
  year =             {1966},
  pages =            {19{\textendash}27},
  fjournal =         {Akademiya    Nauk    Ukrainsko{\u\i}   SSR.   Institut
                      Matematiki.    Ukrainski{\u\i}    Matematicheski{\u\i}
                      Zhurnal},
  issn =             {0041\texttt{\symbol{45}}6053},
  mrclass =          {17.30 (22.60)},
  mrnumber =         {0206169 (34 \#5991)},
  mrreviewer =       {Renzo Cirelli},
  printedkey =       {Kli66}
}
@incollection{ Klimyk68,
  author =           {Klimyk, A. U.},
  booktitle =        {American   {M}athematical   {S}ociety  {T}ranslations.
                      {S}eries 2},
  title =            {Decomposition  of  a  direct  product  of  irreducible
                      representations  of  a  semisimple  {L}ie algebra into
                      irreducible representations},
  publisher =        {American Mathematical Society},
  volume =           {76},
  address =          {Providence, R.I.},
  year =             {1968},
  pages =            {63{\textendash}73},
  printedkey =       {Kli68}
}
@book{ TACP2,
  author =           {Knuth, D. E.},
  title =            {The   Art   of   Computer   Programming,   Volume   2:
                      {S}eminumerical Algorithms},
  publisher =        {Addison\texttt{\symbol{45}}Wesley},
  edition =          {third},
  year =             {1998},
  printedkey =       {Knu98}
}
@book{ MR0286318,
  author =           {Knuth, D. E.},
  title =            {The   art   of   computer   programming.   {V}ol.   2:
                      {S}eminumerical algorithms},
  publisher =        {Addison\texttt{\symbol{45}}Wesley    Publishing   Co.,
                      Reading,
                      Mass.\texttt{\symbol{45}}London\texttt{\symbol{45}}Don
                      Mills, Ont},
  year =             {1969},
  pages =            {xi+624},
  mrclass =          {68.00 (65.00)},
  mrnumber =         {0286318 (44 \#3531)},
  mrreviewer =       {M. Muller},
  printedkey =       {Knu69}
}
@book{ Lau82,
  author =           {Laue, R.},
  title =            {Zur   {K}onstruktion  und  {K}lassifikation  endlicher
                      aufl{\"o}sbarer {G}ruppen},
  journal =          {Bayreuth. Math. Schr.},
  publisher =        {Universit{\"a}t Bayreuth},
  number =           {9},
  year =             {1982},
  pages =            {ii+304},
  notes =            {PAGES:  ii + 304, 1 correction sheet, Earlier version:
                      Habilitationsschrift, RWTH Aachen, 1980},
  fjournal =         {Bayreuther Mathematische Schriften},
  issn =             {0172\texttt{\symbol{45}}1062},
  mrclass =          {20D10 (20\texttt{\symbol{45}}02)},
  mrnumber =         {651224 (84e:20018)},
  mrreviewer =       {T. O. Hawkes},
  reviews =          {MR   84e:20018   (T.{\nobreakspace}O.   Hawkes),   Zbl
                      479.20010 (H. Heineken)},
  keywords =         {polycyclic groups;;; classification},
  printedkey =       {Lau82}
}
@inproceedings{ SOGOS,
  author =           {Laue, R. and Neub{\"u}ser, J. and Schoenwaelder, U.},
  editor =           {Atkinson, M. D.},
  booktitle =        {Computational group theory (Durham, 1982)},
  title =            {Algorithms  for  finite soluble groups and the {SOGOS}
                      system},
  publisher =        {Academic Press},
  address =          {London},
  year =             {1984},
  pages =            {105{\textendash}135},
  crossref =         {Durham1982},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20D10 (20\texttt{\symbol{45}}04 20D15 20F05 68Q40)},
  mrnumber =         {760654 (86h:20023)},
  mrreviewer =       {Gerhard Pazderski},
  reviews =          {MR  86h:20023  (Gerhard  Pazderski), Zbl 547:20012 (E.
                      Kommissartschik)},
  keywords =         {polycyclic groups;;; algorithm description},
  printedkey =       {LNS84}
}
@book{ LeC86,
  author =           {LeChenadec, P.},
  title =            {Canonical forms in finitely presented algebras},
  publisher =        {Pitman Publishing Ltd.},
  series =           {Research Notes in Theoretical Computer Science},
  address =          {London},
  year =             {1986},
  pages =            {xii+201},
  isbn =             {0\texttt{\symbol{45}}273\texttt{\symbol{45}}08721\texttt{\symbol{45}}5},
  mrclass =          {68Q50 (03B35 03D03 08B05 20F05 68Q40)},
  mrnumber =         {840218 (88b:68117)},
  mrreviewer =       {Friedrich Otto},
  printedkey =       {LeC86}
}
@article{ LS90,
  author =           {Leedham\texttt{\symbol{45}}Green,  C.  R. and Soicher,
                      L. H.},
  title =            {Collection from the left and other strategies},
  journal =          {J. Symbolic Comput.},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {665{\textendash}675},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20D10 (68Q25)},
  mrnumber =         {1075430 (92b:20021)},
  mrreviewer =       {M. Greendlinger},
  printedkey =       {LS90}
}
@article{ LLL82,
  author =           {Lenstra, A. K. and Lenstra Jr., H. W. and Lov{\a'a}sz,
                      L.},
  title =            {Factoring polynomials with rational coefficients},
  journal =          {Math. Ann.},
  volume =           {261},
  number =           {4},
  year =             {1982},
  pages =            {515{\textendash}534},
  key =              {LLL82},
  coden =            {MAANA3},
  fjournal =         {Mathematische Annalen},
  issn =             {0025\texttt{\symbol{45}}5831},
  mrclass =          {12\texttt{\symbol{45}}04 (12A20 68C20 68C25)},
  mrnumber =         {682664 (84a:12002)},
  mrreviewer =       {Daniel Lazard}
}
@article{ Leo80,
  author =           {Leon, J. S.},
  title =            {On  an  algorithm  for  finding  a  base  and a strong
                      generating   set  for  a  group  given  by  generating
                      permutations},
  journal =          {Math. Comp.},
  volume =           {35},
  number =           {151},
  year =             {1980},
  pages =            {941{\textendash}974},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20\texttt{\symbol{45}}04 (20F05)},
  mrnumber =         {572868 (82i:20004)},
  mrreviewer =       {Colin M. Campbell},
  reviews =          {MR  82i:20004  (Colin  M. Campbell), Zbl 444.20001 (J.
                      Neub{\"u}ser)},
  keywords =         {permutation  groups; stabilizer chain, base and strong
                      generating set of; Schreier Sims, Todd Coxeter (tc)},
  printedkey =       {Leo80}
}
@article{ Leon91,
  author =           {Leon, J. S.},
  title =            {Permutation group algorithms based on partitions. {I}.
                      {T}heory and algorithms},
  journal =          {J. Symbolic Comput.},
  volume =           {12},
  number =           {4\texttt{\symbol{45}}5},
  year =             {1991},
  pages =            {533{\textendash}583},
  note =             {Computational group theory, Part 2},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {68Q40 (20B40)},
  mrnumber =         {1146516 (93c:68043)},
  mrreviewer =       {Jean Moulin Ollagnier},
  printedkey =       {Leo91}
}
@manual{ Lin93,
  author =           {Linton, S.},
  title =            {Vector Enumeration Programs, version 3},
  year =             {1993},
  printedkey =       {Lin93}
}
@phdthesis{ Lo,
  author =           {Lo, E.},
  title =            {A Polycyclic Quotient Algorithm},
  school =           {Rutgers University},
  year =             {1996},
  printedkey =       {Lo96}
}
@misc{ L03,
  author =           {L{\"u}beck, F.},
  title =            {Conway polynomials for finite fields},
  year =             {2003},
  howpublished =     {\href
                      {https://www.math.rwth-aachen.de/~Frank.Luebeck/data/ConwayPol/}
                      {\texttt{https://www.math.rwth\texttt{\symbol{45}}aachen.de/}\discretionary
                      {}{}{}\texttt{\texttt{\symbol{126}}Frank.Luebeck/}\discretionary
                      {}{}{}\texttt{data/}\discretionary
                      {}{}{}\texttt{ConwayPol/}}},
  printedkey =       {L{\"u}b03}
}
@article{ luksrakocziwright97,
  author =           {Luks,  E.  M. and R{\a'a}k{\a'o}czi, F. and Wright, C.
                      R. B.},
  title =            {Some algorithms for nilpotent permutation groups},
  journal =          {J. Symbolic Comput.},
  volume =           {23},
  number =           {4},
  year =             {1997},
  pages =            {335{\textendash}354},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {68Q40 (20B05)},
  mrnumber =         {1445430 (97m:68113)},
  printedkey =       {LRW97}
}
@article{ Lus81,
  author =           {Lusztig, G.},
  title =            {On a theorem of {B}enson and {C}urtis},
  journal =          {J. Algebra},
  volume =           {71},
  number =           {2},
  year =             {1981},
  pages =            {490{\textendash}498},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20G05 (14L30)},
  mrnumber =         {630610 (83a:20053)},
  mrreviewer =       {S. I. Gel{\ensuremath{'}}fand},
  printedkey =       {Lus81}
}
@book{ Lus85,
  author =           {Lusztig, G.},
  title =            {Characters of reductive groups over a finite field},
  publisher =        {Princeton University Press},
  series =           {Annals of Mathematics Studies},
  volume =           {107},
  address =          {Princeton, NJ},
  year =             {1984},
  pages =            {xxi+384},
  isbn =             {0\texttt{\symbol{45}}691\texttt{\symbol{45}}08350\texttt{\symbol{45}}9;
                      0\texttt{\symbol{45}}691\texttt{\symbol{45}}08351\texttt{\symbol{45}}7},
  mrclass =          {20G05 (14L20 20C15)},
  mrnumber =         {742472 (86j:20038)},
  mrreviewer =       {Bhama Srinivasan},
  printedkey =       {Lus84}
}
@inproceedings{ LP91,
  author =           {Lux, K. and Pahlings, H.},
  editor =           {Michler, G. O. and Ringel, C. M.},
  booktitle =        {Representation    theory    of   finite   groups   and
                      finite\texttt{\symbol{45}}dimensional         algebras
                      (Bielefeld, 1991)},
  title =            {Computational  aspects  of  representation  theory  of
                      finite groups},
  publisher =        {Birkh{\"a}user},
  series =           {Progr. Math.},
  volume =           {95},
  address =          {Basel},
  year =             {1991},
  pages =            {37{\textendash}64},
  crossref =         {MR91},
  isbn =             {3\texttt{\symbol{45}}7643\texttt{\symbol{45}}2604\texttt{\symbol{45}}2},
  mrclass =          {20C40},
  mrnumber =         {1112157 (92g:20025)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {LP91}
}
@article{ Mac81,
  author =           {Macdonald, I. G.},
  title =            {Numbers  of conjugacy classes in some finite classical
                      groups},
  journal =          {Bull. Austral. Math. Soc.},
  volume =           {23},
  number =           {1},
  year =             {1981},
  pages =            {23{\textendash}48},
  coden =            {ALNBAB},
  fjournal =         {Bulletin of the Australian Mathematical Society},
  issn =             {0004\texttt{\symbol{45}}9727},
  mrclass =          {20G40},
  mrnumber =         {615131 (82j:20092)},
  mrreviewer =       {Naohisa Shimomura},
  printedkey =       {Mac81}
}
@article{ MV97,
  author =           {Mahajan, M. and Vinay, V.},
  title =            {Determinant: combinatorics, algorithms, and complexity},
  journal =          {Chicago J. Theoret. Comput. Sci.},
  year =             {1997},
  pages =            {Article 5, 26 pp. (electronic)},
  fjournal =         {Chicago Journal of Theoretical Computer Science},
  issn =             {1073\texttt{\symbol{45}}0486},
  mrclass =          {15A15 (05C50 68Q15 68Q22 68R05)},
  mrnumber =         {1484546 (98m:15016)},
  mrreviewer =       {H.\texttt{\symbol{45}}J. Hoehnke},
  printedkey =       {MV97}
}
@inproceedings{ Mal96,
  author =           {Malle, G.},
  editor =           {Cabanes, M.},
  booktitle =        {Finite reductive groups (Luminy, 1994)},
  title =            {Degr{\a'e}s  relatifs  des alg{\a`e}bres cyclotomiques
                      associ{\a'e}es    aux   groupes   de   r{\a'e}flexions
                      complexes de dimension deux},
  publisher =        {Birkh{\"a}user Boston},
  series =           {Progr. Math.},
  volume =           {141},
  address =          {Boston, MA},
  year =             {1997},
  pages =            {311{\textendash}332},
  crossref =         {Luminy94},
  note =             {Related structures and representations},
  isbn =             {0\texttt{\symbol{45}}8176\texttt{\symbol{45}}3885\texttt{\symbol{45}}7},
  mrclass =          {20C99 (20F55 20G40)},
  mrnumber =         {1429878 (98h:20019)},
  mrreviewer =       {Fran{\c c}ois Digne},
  printedkey =       {Mal97}
}
@article{ MS85,
  author =           {Soicher, L. and McKay, J.},
  title =            {Computing {G}alois groups over the rationals},
  journal =          {J. Number Theory},
  volume =           {20},
  number =           {3},
  year =             {1985},
  pages =            {273{\textendash}281},
  coden =            {JNUTA9},
  fjournal =         {Journal of Number Theory},
  issn =             {0022\texttt{\symbol{45}}314X},
  mrclass =          {12\texttt{\symbol{45}}04 (11R32 11Y40)},
  mrnumber =         {797178 (87a:12002)},
  mrreviewer =       {Hale F. Trotter},
  printedkey =       {SM85}
}
@article{ McL77,
  author =           {McLain, D. H.},
  title =            {An  algorithm  for determining defining relations of a
                      subgroup},
  journal =          {Glasgow Math. J.},
  volume =           {18},
  number =           {1},
  year =             {1977},
  pages =            {51{\textendash}56},
  fjournal =         {Glasgow Mathematical Journal},
  issn =             {0017\texttt{\symbol{45}}0895},
  mrclass =          {20F05},
  mrnumber =         {0424950 (54 \#12908)},
  mrreviewer =       {N. S. Mendelsohn},
  reviews =          {MR  54  \# 12908 (N.{\nobreakspace}S. Mendelsohn), Zbl
                      348.20029 (Summary)},
  keywords =         {finitely   presented  groups;  subgroup  presentation;
                      modified Todd Coxeter (mtc); algorithm description},
  printedkey =       {McL77}
}
@article{ MeckyNeubueser89,
  author =           {Mecky, M. and Neub{\"u}ser, J.},
  title =            {Some  remarks  on the computation of conjugacy classes
                      of soluble groups},
  journal =          {Bull. Austral. Math. Soc.},
  volume =           {40},
  number =           {2},
  year =             {1989},
  pages =            {281{\textendash}292},
  coden =            {ALNBAB},
  fjournal =         {Bulletin of the Australian Mathematical Society},
  issn =             {0004\texttt{\symbol{45}}9727},
  mrclass =          {20\texttt{\symbol{45}}04 (20D10)},
  mrnumber =         {1012835 (91i:20001)},
  printedkey =       {MN89}
}
@mastersthesis{ Merkwitz98,
  author =           {Merkwitz, T.},
  title =            {{Markentafeln endlicher Gruppen}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1998},
  printedkey =       {Mer98},
  type =             {Diplomarbeit}
}
@mastersthesis{ Mni92,
  author =           {Mnich, J.},
  title =            {Untergruppenverb{\"a}nde  und aufl{\"o}sbare {G}ruppen
                      in {GAP}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1992},
  keywords =         {groups;  subgroup  lattice,  table  of  marks;  cyclic
                      extensions; algorithm description},
  printedkey =       {Mni92},
  type =             {Diplomarbeit}
}
@article{ Mon85,
  author =           {Montgomery, P. L.},
  title =            {Modular multiplication without trial division},
  journal =          {Math. Comp.},
  volume =           {44},
  number =           {170},
  year =             {1985},
  pages =            {519{\textendash}521},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {11Y16},
  mrnumber =         {777282 (86e:11121)},
  printedkey =       {Mon85}
}
@article{ Mur58,
  author =           {Murnaghan, F. D.},
  title =            {The orthogonal and symplectic groups},
  journal =          {Comm. Dublin Inst. Adv. Studies. Ser. A, no.},
  volume =           {13},
  year =             {1958},
  pages =            {146},
  mrclass =          {20.00},
  mrnumber =         {0103933 (21 \#2695)},
  mrreviewer =       {J. S. Frame},
  printedkey =       {Mur58}
}
@article{ MY79,
  author =           {McKay, J. and Young, K. C.},
  title =            {The   nonabelian   simple   groups   {$G$},   {$|G|  <
                      10^{6}$}{\textendash}minimal generating pairs},
  journal =          {Math. Comp.},
  volume =           {33},
  number =           {146},
  year =             {1979},
  pages =            {812{\textendash}814},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20D05 (20F05)},
  mrnumber =         {521296 (80d:20018)},
  mrreviewer =       {W. J. Wong},
  printedkey =       {MY79}
}
@manual{ Nau90,
  author =           {McKay, B. D.},
  title =            {{nauty}  user's  guide (version 1.5), Technical report
                      TR\texttt{\symbol{45}}CS\texttt{\symbol{45}}90\texttt{\symbol{45}}02},
  organization =     {Australian National University},
  address =          {Computer Science Department, ANU},
  year =             {1990},
  printedkey =       {McK90}
}
@phdthesis{ Neb95,
  author =           {Nebe, G.},
  title =            {Endliche rationale {M}atrixgruppen vom {G}rad 24},
  school =           {Rheinisch Westf{\"a}lische Technische Hochschule},
  series =           {Aachener Beitr{\"a}ge zur Mathematik},
  volume =           {12},
  address =          {Aachen, Germany},
  year =             {1995},
  printedkey =       {Neb95},
  type =             {Dissertation}
}
@article{ Neb96,
  author =           {Nebe, G.},
  title =            {Finite  subgroups  of {$GL_n(Q)$} for {$25 \leq n \leq
                      31$}},
  journal =          {Comm. Algebra},
  volume =           {24},
  number =           {7},
  year =             {1996},
  pages =            {2341{\textendash}2397},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20G15},
  mrnumber =         {1390378 (97e:20066)},
  mrreviewer =       {Martin W. Liebeck},
  printedkey =       {Neb96}
}
@phdthesis{ Neu67,
  author =           {Neub{\"u}ser, J.},
  title =            {Die   {U}ntergruppenverb{\"a}nde   der  {Gruppen}  der
                      {Ordnungen}  $\leq 100$ mit {Ausnahme} der {Ordnungen}
                      64 und 96},
  school =           {Universit{\"a}t Kiel},
  address =          {Kiel, Germany},
  year =             {1967},
  notes =            {PAGES: 370},
  printedkey =       {Neu67},
  type =             {Habilitationsschrift}
}
@inproceedings{ Neu82,
  author =           {Neub{\"u}ser, J.},
  editor =           {Campbell, C. M. and Robertson, E. F.},
  booktitle =        {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)},
  title =            {An  elementary  introduction to coset table methods in
                      computational group theory},
  publisher =        {Cambridge Univ. Press},
  series =           {London Math. Soc. Lecture Note Ser.},
  volume =           {71},
  address =          {Cambridge},
  year =             {1982},
  pages =            {1{\textendash}45},
  crossref =         {GrpsStAndrews81},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}28974\texttt{\symbol{45}}2},
  mrclass =          {20\texttt{\symbol{45}}04 (20\texttt{\symbol{45}}02)},
  mrnumber =         {679153 (84f:20004)},
  mrreviewer =       {George Havas},
  reviews =          {MR 84f:20004 (George Havas), Zbl 489.20003 (G. Butler)},
  keywords =         {finitely   presented  groups;  subgroup  presentation,
                      permutation  representation, low index subgroups; Todd
                      Coxeter  (tc),  modified Todd Coxeter (mtc); algorithm
                      description, survey},
  printedkey =       {Neu82}
}
@book{ neukirch,
  author =           {Neukirch, J.},
  title =            {Algebraische {Z}ahlentheorie},
  publisher =        {Springer, Berlin, Heidelberg and New York},
  year =             {1992},
  printedkey =       {Neu92}
}
@inbook{ NP95,
  author =           {Nebe, G. and Plesken, W.},
  title =            {Finite rational matrix groups of degree 16},
  journal =          {Mem. Amer. Math. Soc.},
  publisher =        {AMS},
  number =           {556},
  year =             {1995},
  pages =            {74{\textendash}144},
  crossref =         {NPbook95},
  note =             {vol. 116},
  coden =            {MAMCAU},
  fjournal =         {Memoirs of the American Mathematical Society},
  issn =             {0065\texttt{\symbol{45}}9266},
  mrclass =          {20H20 (11E57)},
  mrnumber =         {1265024 (95k:20081)},
  mrreviewer =       {V. D. Mazurov},
  printedkey =       {NP95}
}
@book{ NPbook95,
  author =           {Nebe, G. and Plesken, W.},
  title =            {Finite rational matrix groups},
  journal =          {Mem. Amer. Math. Soc.},
  publisher =        {AMS},
  series =           {Mem. Amer. Math. Soc.},
  number =           {556},
  year =             {1995},
  pages =            {viii+144},
  note =             {vol. 116},
  coden =            {MAMCAU},
  fjournal =         {Memoirs of the American Mathematical Society},
  issn =             {0065\texttt{\symbol{45}}9266},
  mrclass =          {20H20 (11E57)},
  mrnumber =         {1265024 (95k:20081)},
  mrreviewer =       {V. D. Mazurov},
  printedkey =       {NP95}
}
@inproceedings{ NPP84,
  author =           {Neub{\"u}ser, J. and Pahlings, H. and Plesken, W.},
  editor =           {Atkinson, M. D.},
  booktitle =        {Computational group theory (Durham, 1982)},
  title =            {C{AS};  design and use of a system for the handling of
                      characters of finite groups},
  publisher =        {Academic Press},
  address =          {London},
  year =             {1984},
  pages =            {195{\textendash}247},
  crossref =         {Durham1982},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20\texttt{\symbol{45}}04 (20C15 20C30 68Q40)},
  mrnumber =         {760658 (86i:20004)},
  mrreviewer =       {D. Wales},
  reviews =          {MR 86i:20004 (D. Hales), Zbl 546.20001 (G. Butler)},
  keywords =         {ordinary representations; characters},
  printedkey =       {NPP84}
}
@article{ NPW81,
  author =           {Neub{\"u}ser, J. and Plesken, W. and Wondratschek, H.},
  booktitle =        {Proceedings  of  the Conference on Kristallographische
                      Gruppen (Univ. Bielefeld, Bielefeld, 1979), Part II},
  title =            {An emendatory discursion on defining crystal systems},
  journal =          {Match},
  number =           {10},
  year =             {1981},
  pages =            {77{\textendash}96},
  coden =            {MATCDV},
  fjournal =         {Match},
  issn =             {0340\texttt{\symbol{45}}6253},
  mrclass =          {20H15 (51F15 82A60)},
  mrnumber =         {620802 (82i:20059)},
  mrreviewer =       {Daniel B. Litvin},
  reviews =          {Zbl 551.20033 (Author)},
  printedkey =       {NPW81}
}
@inproceedings{ New77,
  author =           {Newman, M. F.},
  editor =           {Bryce, R. A. and Cossey, J. and Newman, M. F.},
  booktitle =        {Group  theory (Proc. Miniconf., Australian Nat. Univ.,
                      Canberra, 1975)},
  title =            {Determination           of          groups          of
                      prime\texttt{\symbol{45}}power order},
  publisher =        {Springer},
  series =           {Lecture Notes in Math.},
  volume =           {573},
  address =          {Berlin},
  year =             {1977},
  pages =            {73{\textendash}84. Lecture Notes in Math., Vol. 573},
  crossref =         {Canberra75},
  note =             {Lecture Notes in Mathematics, Vol. 573},
  mrclass =          {20D15},
  mrnumber =         {0453862 (56 \#12115)},
  mrreviewer =       {Bruce W. King},
  reviews =          {MR 56 \# 12115 (Bruce W. King), Zbl no ref},
  keywords =         {finitely               presented               groups,
                      p\texttt{\symbol{45}}groups;;    nilpotent   quotient;
                      application},
  printedkey =       {New77}
}
@article{ New90,
  author =           {Newman, M. F.},
  title =            {Proving a group infinite},
  journal =          {Arch. Math. (Basel)},
  volume =           {54},
  number =           {3},
  year =             {1990},
  pages =            {209{\textendash}211},
  coden =            {ACVMAL},
  fjournal =         {Archiv der Mathematik},
  issn =             {0003\texttt{\symbol{45}}889X},
  mrclass =          {20F05},
  mrnumber =         {1037607 (90j:20068)},
  mrreviewer =       {D. L. Johnson},
  printedkey =       {New90}
}
@inproceedings{ NO89,
  author =           {Newman, M. F. and O'Brien, E. A.},
  editor =           {Cheng, K. N. and Leong, Y. K.},
  booktitle =        {Group theory (Singapore, 1987)},
  title =            {A  {CAYLEY}  library  for the groups of order dividing
                      {$128$}},
  publisher =        {de Gruyter},
  address =          {Berlin},
  year =             {1989},
  pages =            {437{\textendash}442},
  crossref =         {Singapore87},
  isbn =             {3\texttt{\symbol{45}}11\texttt{\symbol{45}}011366\texttt{\symbol{45}}X},
  mrclass =          {20\texttt{\symbol{45}}04 (20D15)},
  mrnumber =         {981861 (90b:20002)},
  mrreviewer =       {J. McKay},
  printedkey =       {NO89}
}
@mastersthesis{ Noe02,
  author =           {Noeske, F.},
  title =            {{Zur  Darstellungstheorie der Schurschen Erweiterungen
                      symmetrischer Gruppen}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  year =             {2002},
  printedkey =       {Noe02},
  type =             {Diplomarbeit}
}
@article{ OBr90,
  author =           {O'Brien, E. A.},
  title =            {The      {$p$}\texttt{\symbol{45}}group     generation
                      algorithm},
  journal =          {J. Symbolic Comput.},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {677{\textendash}698},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20D15},
  mrnumber =         {1075431 (91j:20050)},
  mrreviewer =       {{\a`E}. M. Pal{\ensuremath{'}}chik},
  printedkey =       {O'B90}
}
@article{ OBr91,
  author =           {O'Brien, E. A.},
  title =            {The groups of order {$256$}},
  journal =          {J. Algebra},
  volume =           {143},
  number =           {1},
  year =             {1991},
  pages =            {219{\textendash}235},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20D15 (20\texttt{\symbol{45}}04)},
  mrnumber =         {1128656 (93e:20029)},
  printedkey =       {O'B91}
}
@article{ OBr94,
  author =           {O'Brien, E. A.},
  title =            {Isomorphism                 testing                for
                      {$p$}\texttt{\symbol{45}}groups},
  journal =          {J. Symbolic Comput.},
  volume =           {17},
  number =           {2},
  year =             {1994},
  pages =            {131, 133{\textendash}147},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20D15 (20D45 20F28)},
  mrnumber =         {1283739 (95f:20040b)},
  mrreviewer =       {Richard Davitt},
  printedkey =       {O'B94}
}
@inproceedings{ OBr95,
  author =           {O'Brien, E. A.},
  editor =           {Bosma, W. and van der Poorten, A.},
  booktitle =        {Computational algebra and number theory (Sydney, 1992)},
  title =            {Computing         automorphism        groups        of
                      {$p$}\texttt{\symbol{45}}groups},
  publisher =        {Kluwer Acad. Publ.},
  series =           {Math. Appl.},
  volume =           {325},
  address =          {Dordrecht},
  year =             {1995},
  pages =            {83{\textendash}90},
  mrclass =          {20D15 (20D45)},
  mrnumber =         {1344923 (96g:20024)},
  mrreviewer =       {Wolfgang Lempken},
  printedkey =       {O'B95}
}
@article{ NO96,
  author =           {Newman, M. F. and O'Brien, E. A.},
  title =            {Application  of  computers  to questions like those of
                      {B}urnside. {II}},
  journal =          {Internat. J. Algebra Comput.},
  volume =           {6},
  number =           {5},
  year =             {1996},
  pages =            {593{\textendash}605},
  fjournal =         {International Journal of Algebra and Computation},
  issn =             {0218\texttt{\symbol{45}}1967},
  mrclass =          {20\texttt{\symbol{45}}04 (20D15 20F05)},
  mrnumber =         {1419133 (97k:20002)},
  mrreviewer =       {Colin M. Campbell},
  printedkey =       {NO96}
}
@techreport{ Ost86,
  author =           {Ostermann, T.},
  title =            {Charaktertafeln von {S}ylownormalisatoren sporadischer
                      einfacher {G}ruppen},
  institution =      {Universit{\"a}t Essen},
  publisher =        {Universit{\"a}t Essen Fachbereich Mathematik},
  series =           {Vorlesungen   aus   dem   Fachbereich  Mathematik  der
                      Universit{\"a}t GH Essen [Lecture Notes in Mathematics
                      at the University of Essen]},
  volume =           {14},
  address =          {Essen},
  year =             {1986},
  pages =            {x+187},
  mrclass =          {20\texttt{\symbol{45}}04 (20C20 20D08)},
  mrnumber =         {872094 (88g:20002)},
  mrreviewer =       {M. F. Newman},
  printedkey =       {Ost86}
}
@article{ Pah93,
  author =           {Pahlings, H.},
  title =            {On the {M}{\"o}bius function of a finite group},
  journal =          {Arch. Math. (Basel)},
  volume =           {60},
  number =           {1},
  year =             {1993},
  pages =            {7{\textendash}14},
  coden =            {ACVMAL},
  fjournal =         {Archiv der Mathematik},
  issn =             {0003\texttt{\symbol{45}}889X},
  mrclass =          {20D30},
  mrnumber =         {1193087 (94c:20039)},
  mrreviewer =       {David Gluck},
  printedkey =       {Pah93}
}
@inproceedings{ Par84,
  author =           {Parker, R. A.},
  editor =           {Atkinson, M. D.},
  booktitle =        {Computational group theory (Durham, 1982)},
  title =            {The  computer  calculation  of modular characters (the
                      meat\texttt{\symbol{45}}axe)},
  publisher =        {Academic Press},
  address =          {London},
  year =             {1984},
  pages =            {267{\textendash}274},
  crossref =         {Durham1982},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20C20 (20\texttt{\symbol{45}}04)},
  mrnumber =         {760660 (85k:20041)},
  mrreviewer =       {Leo J. Alex},
  printedkey =       {Par84}
}
@mastersthesis{ Pfe91,
  author =           {Pfeiffer, G.},
  title =            {{Von Permutationscharakteren und Markentafeln}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1991},
  printedkey =       {Pfe91},
  type =             {Diplomarbeit}
}
@article{ Pfe94a,
  author =           {Pfeiffer, G.},
  title =            {Character tables of {W}eyl groups in {GAP}},
  journal =          {Bayreuth. Math. Schr.},
  number =           {47},
  year =             {1994},
  pages =            {165{\textendash}222},
  fjournal =         {Bayreuther Mathematische Schriften},
  issn =             {0172\texttt{\symbol{45}}1062},
  mrclass =          {20C40 (20C15 20D06 20F40)},
  mrnumber =         {1285208 (95d:20027)},
  mrreviewer =       {Stephen A. Linton},
  printedkey =       {Pfe94}
}
@article{ Pfe94b,
  author =           {Pfeiffer, G.},
  title =            {Young   characters  on  {C}oxeter  basis  elements  of
                      {I}wahori\texttt{\symbol{45}}{H}ecke  algebras  and  a
                      {M}urnaghan\texttt{\symbol{45}}{N}akayama formula},
  journal =          {J. Algebra},
  volume =           {168},
  number =           {2},
  year =             {1994},
  pages =            {525{\textendash}535},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C30 (20C15 20F55)},
  mrnumber =         {1292779 (95g:20012)},
  mrreviewer =       {Arun Ram},
  printedkey =       {Pfe94}
}
@inproceedings{ Pfe96,
  author =           {Pfeiffer, G.},
  editor =           {Cabanes, M.},
  booktitle =        {Finite reductive groups (Luminy, 1994)},
  title =            {Character                   values                  of
                      {I}wahori\texttt{\symbol{45}}{H}ecke  algebras of type
                      {$B$}},
  publisher =        {Birkh{\"a}user Boston},
  series =           {Progr. Math.},
  volume =           {141},
  address =          {Boston, MA},
  year =             {1997},
  pages =            {333{\textendash}360},
  crossref =         {Luminy94},
  note =             {Related structures and representations},
  isbn =             {0\texttt{\symbol{45}}8176\texttt{\symbol{45}}3885\texttt{\symbol{45}}7},
  mrclass =          {20C15 (20F55)},
  mrnumber =         {1429879 (98a:20008)},
  mrreviewer =       {Robert B{\a'e}dard},
  printedkey =       {Pfe97}
}
@article{ Pfe97,
  author =           {Pfeiffer, G.},
  title =            {The  subgroups  of  {$M_{24}$},  or how to compute the
                      table of marks of a finite group},
  journal =          {Experiment. Math.},
  volume =           {6},
  number =           {3},
  year =             {1997},
  pages =            {247{\textendash}270},
  fjournal =         {Experimental Mathematics},
  issn =             {1058\texttt{\symbol{45}}6458},
  mrclass =          {20D30 (20D08)},
  mrnumber =         {1481593 (98h:20032)},
  mrreviewer =       {A. S. Kondrat{\ensuremath{'}}ev},
  printedkey =       {Pfe97}
}
@book{ Pil83,
  author =           {Pilz, G.},
  title =            {Near\texttt{\symbol{45}}rings},
  publisher =        {North\texttt{\symbol{45}}Holland Publishing Co.},
  edition =          {Second},
  series =           {North\texttt{\symbol{45}}Holland Mathematics Studies},
  volume =           {23},
  address =          {Amsterdam},
  year =             {1983},
  pages =            {xv+470},
  note =             {The theory and its applications},
  isbn =             {0\texttt{\symbol{45}}7204\texttt{\symbol{45}}0566\texttt{\symbol{45}}1},
  mrclass =          {16A76 (16\texttt{\symbol{45}}02)},
  mrnumber =         {721171 (85h:16046)},
  mrreviewer =       {J. R. Clay},
  printedkey =       {Pil83}
}
@article{ Ple85,
  author =           {Plesken, W.},
  title =            {Finite   unimodular   groups   of   prime  degree  and
                      circulants},
  journal =          {J. Algebra},
  volume =           {97},
  number =           {1},
  year =             {1985},
  pages =            {286{\textendash}312},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20C10 (20G40)},
  mrnumber =         {812182 (87c:20020)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {Ple85}
}
@article{ Ple90,
  author =           {Plesken, W.},
  title =            {Solving {$XX^{\rm tr} = A$} over the integers},
  journal =          {Linear Algebra Appl.},
  volume =           {226/228},
  year =             {1995},
  pages =            {331\texttt{\symbol{45}}\texttt{\symbol{45}}344},
  coden =            {LAAPAW},
  fjournal =         {Linear Algebra and its Applications},
  issn =             {0024\texttt{\symbol{45}}3795},
  mrclass =          {15A24},
  mrnumber =         {1344572 (96h:15016)},
  mrreviewer =       {M. C. Chaki},
  printedkey =       {Ple95}
}
@inbook{ PN95,
  author =           {Plesken, W. and Nebe, G.},
  title =            {Finite rational matrix groups},
  journal =          {Mem. Amer. Math. Soc.},
  publisher =        {AMS},
  number =           {556},
  year =             {1995},
  pages =            {1{\textendash}73},
  crossref =         {NPbook95},
  note =             {vol. 116},
  coden =            {MAMCAU},
  fjournal =         {Memoirs of the American Mathematical Society},
  issn =             {0065\texttt{\symbol{45}}9266},
  mrclass =          {20H20 (11E57)},
  mrnumber =         {1265024 (95k:20081)},
  mrreviewer =       {V. D. Mazurov},
  printedkey =       {PN95}
}
@article{ MR1265024,
  author =           {Nebe, G. and Plesken, W.},
  title =            {Finite rational matrix groups},
  journal =          {Mem. Amer. Math. Soc.},
  volume =           {116},
  number =           {556},
  year =             {1995},
  pages =            {viii+144},
  coden =            {MAMCAU},
  fjournal =         {Memoirs of the American Mathematical Society},
  issn =             {0065\texttt{\symbol{45}}9266},
  mrclass =          {20H20 (11E57)},
  mrnumber =         {1265024 (95k:20081)},
  mrreviewer =       {V. D. Mazurov},
  printedkey =       {NP95}
}
@article{ PP77,
  author =           {Plesken, W. and Pohst, M.},
  title =            {On  maximal finite irreducible Subgroups of {GL(n,Z)}.
                      {I}.  The  five and seven dimensional cases, {II}. The
                      six dimensional case},
  journal =          {Math. Comp.},
  volume =           {31},
  year =             {1977},
  pages =            {536{\textendash}576},
  reviews =          {MR 56 \# 3137a, 3137b (Wolfgang Knapp), Zbl 359.20006,
                      359.20007 (authors)},
  printedkey =       {PP77}
}
@article{ MR0444789,
  author =           {Plesken, W. and Pohst, M.},
  title =            {On  maximal  finite  irreducible  subgroups of {$GL(n,
                      Z)$}. {I}. {T}he five and seven dimensional cases},
  journal =          {Math. Comp.},
  volume =           {31},
  number =           {138},
  year =             {1977},
  pages =            {536{\textendash}551},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20G05},
  mrnumber =         {0444789 (56 \#3137a)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {PP77}
}
@article{ MR0444790,
  author =           {Plesken, W. and Pohst, M.},
  title =            {On  maximal  finite  irreducible  subgroups of {$GL(n,
                      Z)$}. {II}. {T}he six dimensional case},
  journal =          {Math. Comp.},
  volume =           {31},
  number =           {138},
  year =             {1977},
  pages =            {552{\textendash}573},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20G05},
  mrnumber =         {0444790 (56 \#3137b)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {PP77}
}
@article{ PP80,
  author =           {Plesken, W. and Pohst, M.},
  title =            {On  maximal finite irreducible Subgroups of {GL(n,Z)}.
                      {III}.  The  nine  dimensional  case, {IV}. Remarks on
                      even  dimensions  with  application to n = 8, {V}. The
                      eight  dimensional  case and a complete description of
                      dimensions less than ten},
  journal =          {Math. Comp.},
  volume =           {34},
  year =             {1980},
  pages =            {245{\textendash}301},
  reviews =          {MR   81b:20012a,   81b:20012b,   81b:20012c  (Wolfgang
                      Knapp), Zbl 431.20039, 431.20040, 431.20041 (authors)},
  printedkey =       {PP80}
}
@article{ MR551303,
  author =           {Plesken, W. and Pohst, M.},
  title =            {On  maximal  finite  irreducible  subgroups of {$GL(n,
                      Z)$}. {III}. {T}he nine\texttt{\symbol{45}}dimensional
                      case},
  journal =          {Math. Comp.},
  volume =           {34},
  number =           {149},
  year =             {1980},
  pages =            {245{\textendash}258},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20C10},
  mrnumber =         {551303 (81b:20012a)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {PP80}
}
@article{ MR551304,
  author =           {Plesken, W. and Pohst, M.},
  title =            {On  maximal  finite  irreducible  subgroups of {$GL(n,
                      Z)$}.   {IV}.   {R}emarks   on  even  dimensions  with
                      applications to {$n = 8$}},
  journal =          {Math. Comp.},
  volume =           {34},
  number =           {149},
  year =             {1980},
  pages =            {259{\textendash}275},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20C10},
  mrnumber =         {551304 (81b:20012b)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {PP80}
}
@article{ MR551305,
  author =           {Plesken, W. and Pohst, M.},
  title =            {On  maximal  finite  irreducible  subgroups of {$GL(n,
                      Z)$}.  {V}. {T}he eight\texttt{\symbol{45}}dimensional
                      case  and  a  complete  description of dimensions less
                      than ten},
  journal =          {Math. Comp.},
  volume =           {34},
  number =           {149},
  year =             {1980},
  pages =            {277{\textendash}301, loose microfiche suppl},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20C10},
  mrnumber =         {551305 (81b:20012c)},
  mrreviewer =       {Wolfgang Knapp},
  printedkey =       {PP80}
}
@article{ Poh87,
  author =           {Pohst, M.},
  title =            {A modification of the {LLL} reduction algorithm},
  journal =          {J. Symbolic Comput.},
  volume =           {4},
  number =           {1},
  year =             {1987},
  pages =            {123{\textendash}127},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {11Y16 (11H06 11R27 11Y05 68Q20)},
  mrnumber =         {908420 (89c:11183)},
  mrreviewer =       {Hans G. Kopetzky},
  printedkey =       {Poh87}
}
@article{ Ram91,
  author =           {Ram, A.},
  title =            {A  {F}robenius  formula  for  the  characters  of  the
                      {H}ecke algebras},
  journal =          {Invent. Math.},
  volume =           {106},
  number =           {3},
  year =             {1991},
  pages =            {461{\textendash}488},
  coden =            {INVMBH},
  fjournal =         {Inventiones Mathematicae},
  issn =             {0020\texttt{\symbol{45}}9910},
  mrclass =          {20C30 (05E05 16W30 17B37)},
  mrnumber =         {1134480 (93c:20029)},
  mrreviewer =       {Jie Du},
  printedkey =       {Ram91}
}
@manual{ Ram99a,
  author =           {Ramsay, C.},
  title =            {{ACE} for {Amateurs}},
  organization =     {Centre  for  Discrete  Mathematics  and Computing, The
                      University of Queensland},
  year =             {1999},
  note =             {Draft},
  printedkey =       {Ram99}
}
@manual{ Ram99,
  author =           {Ramsay, C.},
  title =            {{ACE} User Manual},
  address =          {Department   of   Computer   Science   \&   Electrical
                      Engineering   and   Department   of  Mathematics,  The
                      University of Queensland, QLD 4072, Australia},
  year =             {1999},
  note =             {Draft},
  organisation =     {Centre for Discrete Mathematics and Computing},
  printedkey =       {Ram99}
}
@manual{ Rin93,
  author =           {Ringe, M.},
  title =            {The {C} {M}eat{A}xe, Release 1.5},
  organization =     {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1993},
  printedkey =       {Rin93}
}
@manual{ Rin98,
  author =           {Ringe, M.},
  title =            {The {C} {M}eat{A}xe, Release 2.3},
  organization =     {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1998},
  printedkey =       {Rin98}
}
@article{ Rob88,
  author =           {Robertson, E. F.},
  title =            {Tietze transformations with weighted substring search},
  journal =          {J. Symbolic Comput.},
  volume =           {6},
  number =           {1},
  year =             {1988},
  pages =            {59{\textendash}64},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {68Q40 (20F05)},
  mrnumber =         {961370 (89h:68076)},
  keywords =         {finitely   presented  groups;  simplification;  Tietze
                      transformations},
  printedkey =       {Rob88}
}
@article{ RoneyDougal02,
  author =           {Roney\texttt{\symbol{45}}Dougal,  C.  M. and Unger, W.
                      R.},
  title =            {The affine primitive permutation groups of degree less
                      than 1000},
  journal =          {J. Symbolic Comput.},
  volume =           {35},
  number =           {4},
  year =             {2003},
  pages =            {421{\textendash}439},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20B15},
  mrnumber =         {1976576 (2004e:20002)},
  mrreviewer =       {Xianhua Li},
  printedkey =       {RU03}
}
@article{ RoneyDougal05,
  author =           {Roney\texttt{\symbol{45}}Dougal, C. M.},
  title =            {The  primitive  permutation groups of degree less than
                      2500},
  journal =          {J. Algebra},
  volume =           {292},
  number =           {1},
  year =             {2005},
  pages =            {154{\textendash}183},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20B15},
  mrnumber =         {2166801 (2006e:20005)},
  mrreviewer =       {Michael Giudici},
  printedkey =       {Ron05}
}
@article{ Roy87,
  author =           {Royle, G. F.},
  title =            {The transitive groups of degree twelve},
  journal =          {J. Symbolic Comput.},
  volume =           {4},
  number =           {2},
  year =             {1987},
  pages =            {255{\textendash}268},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20B05},
  mrnumber =         {922391 (89b:20010)},
  mrreviewer =       {Martin W. Liebeck},
  printedkey =       {Roy87}
}
@article{ RylandsTalor98,
  author =           {Rylands, L. J. and Taylor, D. E.},
  title =            {Matrix generators for the orthogonal groups},
  journal =          {J. Symbolic Comput.},
  volume =           {25},
  number =           {3},
  year =             {1998},
  pages =            {351{\textendash}360},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20G40},
  mrnumber =         {1615330 (99d:20078)},
  mrreviewer =       {A. G. Earnest},
  printedkey =       {RT98}
}
@article{ Sco73,
  author =           {Scott, L. L.},
  title =            {Modular permutation representations},
  journal =          {Trans. Amer. Math. Soc.},
  volume =           {175},
  year =             {1973},
  pages =            {101{\textendash}121},
  fjournal =         {Transactions of the American Mathematical Society},
  issn =             {0002\texttt{\symbol{45}}9947},
  mrclass =          {20C20},
  mrnumber =         {0310051 (46 \#9154)},
  mrreviewer =       {H. K. Farahat},
  printedkey =       {Sco73}
}
@article{ Sch90,
  author =           {Schneider, G. J. A.},
  title =            {Dixon's character table algorithm revisited},
  journal =          {J. Symbolic Comput.},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {601{\textendash}606},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20C40 (20\texttt{\symbol{45}}04 20C15 68Q40)},
  mrnumber =         {1075426 (91j:20036)},
  mrreviewer =       {Jamshid Moori},
  printedkey =       {Sch90}
}
@mastersthesis{ Scherner92,
  author =           {Scherner, M.},
  title =            {Erweiterung        einer        {A}rithmetik       von
                      {K}reisteilungsk{\"o}rpern  auf deren {T}eilk{\"o}rper
                      und deren {I}mplementation in {GAP}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1992},
  printedkey =       {Sch92},
  type =             {Diplomarbeit}
}
@mastersthesis{ Schiffer94,
  author =           {Schiffer, U.},
  title =            {Cliffordmatrizen},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1994},
  printedkey =       {Sch94},
  type =             {Diplomarbeit}
}
@article{ Seress98,
  author =           {Seress, {\a'A}.},
  title =            {Nearly  linear time algorithms for permutation groups:
                      an interplay between theory and practice},
  journal =          {Acta Appl. Math.},
  volume =           {52},
  number =           {1\texttt{\symbol{45}}3},
  year =             {1998},
  pages =            {183{\textendash}207},
  note =             {Algebra    and    combinatorics:    interactions   and
                      applications (K{\"o}nigstein, 1994)},
  coden =            {AAMADV},
  fjournal =         {Acta Applicandae Mathematicae. An International Survey
                      Journal   on  Applying  Mathematics  and  Mathematical
                      Applications},
  issn =             {0167\texttt{\symbol{45}}8019},
  mrclass =          {20B40 (20\texttt{\symbol{45}}04 68W30)},
  mrnumber =         {1649697 (2000e:20008)},
  mrreviewer =       {Miguel {\a'A}. Borges\texttt{\symbol{45}}Trenard},
  printedkey =       {Ser98}
}
@book{ Seress2003,
  author =           {Seress, {\a'A}.},
  title =            {Permutation Group Algorithms},
  publisher =        {Cambridge University Press},
  year =             {2003},
  isbn =             {9780511546549},
  printedkey =       {Ser03}
}
@article{ ST54,
  author =           {Shephard, G. C. and Todd, J. A.},
  title =            {Finite unitary reflection groups},
  journal =          {Canadian J. Math.},
  volume =           {6},
  year =             {1954},
  pages =            {274{\textendash}304},
  mrclass =          {20.0X},
  mrnumber =         {0059914 (15,600b)},
  mrreviewer =       {H. S. M. Coxeter},
  printedkey =       {ST54}
}
@book{ Sho92,
  author =           {Short, M. W.},
  title =            {The  primitive  soluble  permutation  groups of degree
                      less than {$256$}},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Lecture Notes in Mathematics},
  volume =           {1519},
  address =          {Berlin},
  year =             {1992},
  pages =            {x+145},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}55501\texttt{\symbol{45}}3},
  mrclass =          {20B15 (20B35 20B40 20F16)},
  mrnumber =         {1176516 (93g:20006)},
  mrreviewer =       {A. S. Kondrat{\ensuremath{'}}ev},
  printedkey =       {Sho92}
}
@inproceedings{ Sim70,
  author =           {Sims, C. C.},
  editor =           {Leech, J.},
  booktitle =        {Computational  Problems  in  Abstract  Algebra  (Proc.
                      Conf., Oxford, 1967)},
  title =            {Computational  methods  in  the  study  of permutation
                      groups},
  publisher =        {Pergamon},
  series =           {Proceedings  of  a Conference held at Oxford under the
                      auspices   of  the  Science  Research  Council,  Atlas
                      Computer Laboratory},
  volume =           {29},
  address =          {Oxford},
  year =             {1970},
  pages =            {169{\textendash}183},
  crossref =         {Oxford67},
  notes =            {RUSSIAN  translation  in:  Computations in algebra and
                      number theory (Russian), edited by B.{\nobreakspace}B.
                      Venkov    and    D.{\nobreakspace}K.    Faddeev,   pp.
                      129{\textendash}147,  Matematika,  Novoie v Zarubeznoi
                      Naukie, vol. 2, Izdat. MIR, Moscow, 1976},
  mrclass =          {20.20 (65.00)},
  mrnumber =         {0257203 (41 \#1856)},
  mrreviewer =       {H. Kimura},
  reviews =          {MR 41 \# 1856 (H. Kimura), Zbl 215, 100 (J. McKay), CR
                      11 \# 19,829 (G.{\nobreakspace}N. Raney)},
  keywords =         {permutation  groups;  primitive groups, classification
                      of, stabilizer chain; Schreier Sims},
  printedkey =       {Sim70}
}
@article{ Sims90b,
  author =           {Sims, C. C.},
  title =            {Computing the order of a solvable permutation group},
  journal =          {J. Symbolic Comput.},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {699{\textendash}705},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20B40},
  mrnumber =         {1075432 (91m:20011)},
  mrreviewer =       {Gerhard Hiss},
  printedkey =       {Sim90}
}
@book{ Sims94,
  author =           {Sims, C. C.},
  title =            {Computation with finitely presented groups},
  publisher =        {Cambridge University Press},
  series =           {Encyclopedia of Mathematics and its Applications},
  volume =           {48},
  address =          {Cambridge},
  year =             {1994},
  pages =            {xiii+604},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}43213\texttt{\symbol{45}}8},
  mrclass =          {20F05 (20\texttt{\symbol{45}}02 68Q40 68Q42)},
  mrnumber =         {1267733 (95f:20053)},
  mrreviewer =       {Friedrich Otto},
  printedkey =       {Sim94}
}
@inproceedings{ Sims97,
  author =           {Sims, C. C.},
  editor =           {K{\"u}chlin, W.},
  booktitle =        {Proceedings  of  the  1997  International Symposium on
                      Symbolic and Algebraic Computation (Kihei, HI)},
  title =            {Computing  with  subgroups  of  automorphism groups of
                      finite groups},
  organization =     {The Association for Computing Machinery},
  publisher =        {ACM},
  address =          {New York},
  year =             {1997},
  pages =            {400{\textendash}403 (electronic)},
  crossref =         {ISSAC97},
  note =             {Held in Kihei, HI, July 21{\textendash}23, 1997},
  key =              {ACM},
  mrclass =          {68W30 (20D45)},
  mrnumber =         {1810006}
}
@manual{ Sog89,
  title =            {{SOGOS}  \texttt{\symbol{45}}  A  Program  System  for
                      Handling  Subgroups  of Finite Soluble Groups, version
                      5.0, User's reference manual},
  organization =     {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1989},
  keywords =         {groups,  finitely presented groups, polycyclic groups,
                      nilpotent  groups, p\texttt{\symbol{45}}groups; SOGOS,
                      pc\texttt{\symbol{45}}presentation,
                      ag\texttt{\symbol{45}}presentation,        collection,
                      elements,  classes of conjugate elements, centralizer,
                      normalizer,   normal   closure,   intersection,  sylow
                      subgroups,  derived  subgroup, series, central series,
                      p\texttt{\symbol{45}}central series, subgroup lattice,
                      table  of marks, complements, factor groups; nilpotent
                      quotient (nq); manual},
  printedkey =       {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY}
}
@inproceedings{ Soi91,
  author =           {Soicher, L. H.},
  editor =           {Finkelstein, L. and Kantor, W. M.},
  booktitle =        {Groups and computation (New Brunswick, NJ, 1991)},
  title =            {G{RAPE}: a system for computing with graphs and groups},
  publisher =        {Amer. Math. Soc.},
  series =           {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
  volume =           {11},
  address =          {Providence, RI},
  year =             {1993},
  pages =            {287{\textendash}291},
  crossref =         {DIMACS},
  isbn =             {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}6599\texttt{\symbol{45}}4},
  mrclass =          {05C85 (20B40)},
  mrnumber =         {1235810},
  printedkey =       {Soi93}
}
@article{ Sou94,
  author =           {Souvignier, B.},
  title =            {Irreducible  finite  integral  matrix groups of degree
                      {$8$} and {$10$}},
  journal =          {Math. Comp.},
  volume =           {63},
  number =           {207},
  year =             {1994},
  pages =            {335{\textendash}350},
  note =             {With microfiche supplement},
  coden =            {MCMPAF},
  fjournal =         {Mathematics of Computation},
  issn =             {0025\texttt{\symbol{45}}5718},
  mrclass =          {20H15 (11E12 20C10 20C40)},
  mrnumber =         {1213836 (94i:20091)},
  mrreviewer =       {Alexander W. Mason},
  printedkey =       {Sou94}
}
@manual{ Spa89,
  title =            {{SPAS}  \texttt{\symbol{45}} {S}ubgroup {P}resentation
                      {A}lgorithms  {S}ystem,  version 2.5, User's reference
                      manual},
  organization =     {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1989},
  key =              {SPAS},
  keywords =         {finitely     presented    groups;    SPAS,    subgroup
                      presentation,  simplification,  low  index  subgroups;
                      Todd   Coxeter  (tc),  modified  Todd  Coxeter  (mtc),
                      Reidemeister   Schreier   (rs),  reduced  Reidemeister
                      Schreier (rrs), Tietze transformations, tree decoding;
                      manual}
}
@book{ Spr81,
  author =           {Springer, T. A.},
  title =            {Linear algebraic groups},
  publisher =        {Birkh{\"a}user Boston},
  series =           {Progress in Mathematics},
  volume =           {9},
  address =          {Mass.},
  year =             {1981},
  pages =            {x+304},
  isbn =             {3\texttt{\symbol{45}}7643\texttt{\symbol{45}}3029\texttt{\symbol{45}}5},
  mrclass =          {20\texttt{\symbol{45}}02 (20Gxx)},
  mrnumber =         {632835 (84i:20002)},
  printedkey =       {Spr81}
}
@article{ Ste89,
  author =           {Stembridge, J. R.},
  title =            {On  the  eigenvalues  of representations of reflection
                      groups and wreath products},
  journal =          {Pacific J. Math.},
  volume =           {140},
  number =           {2},
  year =             {1989},
  pages =            {353{\textendash}396},
  coden =            {PJMAAI},
  fjournal =         {Pacific Journal of Mathematics},
  issn =             {0030\texttt{\symbol{45}}8730},
  mrclass =          {20C30 (20C15)},
  mrnumber =         {1023791 (91a:20022)},
  mrreviewer =       {A. Kerber},
  printedkey =       {Ste89}
}
@article{ Tay87,
  author =           {Taylor, D. E.},
  title =            {Pairs of Generators for Matrix Groups. {I}},
  journal =          {The Cayley Bulletin},
  volume =           {3},
  year =             {1987},
  printedkey =       {Tay87}
}
@mastersthesis{ Theissen93,
  author =           {Thei{\ss}en, H.},
  title =            {{Methoden zur Bestimmung der rationalen Konjugiertheit
                      in endlichen Gruppen}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1993},
  printedkey =       {The93},
  type =             {Diplomarbeit}
}
@phdthesis{ Theissen97,
  author =           {Thei{\ss}en, H.},
  title =            {{Eine    Methode    zur    Normalisatorberechnung   in
                      Permutationsgruppen    mit    Anwendungen    in    der
                      Konstruktion primitiver Gruppen}},
  school =           {Rheinisch Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1997},
  printedkey =       {The97},
  type =             {Dissertation}
}
@mastersthesis{ Thi87,
  author =           {Thiemann, P.},
  title =            {{SOGOS}  {III}  \texttt{\symbol{45}}  {C}haraktere und
                      {E}ffizienzuntersuchung},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1987},
  printedkey =       {Thi87},
  type =             {Diplomarbeit}
}
@inproceedings{ VL84,
  author =           {Vaughan\texttt{\symbol{45}}Lee, M. R.},
  editor =           {Atkinson, M. D.},
  booktitle =        {Computational group theory (Durham, 1982)},
  title =            {An aspect of the nilpotent quotient algorithm},
  publisher =        {Academic Press},
  address =          {London},
  year =             {1984},
  pages =            {75{\textendash}83},
  crossref =         {Durham1982},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20F05 (20\texttt{\symbol{45}}04 20D15 68Q40)},
  mrnumber =         {760652 (86b:20040)},
  mrreviewer =       {M. F. Newman},
  printedkey =       {Vau84}
}
@article{ VL90a,
  author =           {Vaughan\texttt{\symbol{45}}Lee, M. R.},
  title =            {Collection from the left},
  journal =          {J. Symbolic Comput.},
  publisher =        {Academic Press},
  volume =           {9},
  number =           {5\texttt{\symbol{45}}6},
  year =             {1990},
  pages =            {725{\textendash}733},
  note =             {Computational group theory, Part 1},
  fjournal =         {Journal of Symbolic Computation},
  issn =             {0747\texttt{\symbol{45}}7171},
  mrclass =          {20F12 (20\texttt{\symbol{45}}04 20D15 20F18)},
  mrnumber =         {1075434 (92c:20065)},
  mrreviewer =       {M. Greendlinger},
  printedkey =       {Vau90}
}
@book{ VL90b,
  author =           {Vaughan\texttt{\symbol{45}}Lee, M.},
  title =            {The restricted {B}urnside problem},
  publisher =        {The Clarendon Press Oxford University Press},
  series =           {London Mathematical Society Monographs. New Series},
  volume =           {5},
  address =          {New York},
  year =             {1990},
  pages =            {xiv+209},
  note =             {, Oxford Science Publications},
  isbn =             {0\texttt{\symbol{45}}19\texttt{\symbol{45}}853573\texttt{\symbol{45}}2},
  mrclass =          {20\texttt{\symbol{45}}02 (20F12 20F40 20F45 20F50)},
  mrnumber =         {1057610 (92c:20001)},
  mrreviewer =       {Norman Blackburn},
  printedkey =       {Vau90}
}
@article{ vdW76,
  author =           {van der Waall, R. W.},
  title =            {On symplectic primitive modules and monomial groups},
  journal =          {Nederl. Akad. Wetensch. Proc. Ser. A 79, Indag. Math.},
  volume =           {38},
  number =           {4},
  year =             {1976},
  pages =            {362{\textendash}375},
  mrclass =          {20D10},
  mrnumber =         {0424931 (54 \#12889)},
  mrreviewer =       {T. R. Berger},
  printedkey =       {vdW76}
}
@article{ Wagon90,
  author =           {Wagon, S.},
  title =            {Editor's  corner:  the  {E}uclidean  algorithm strikes
                      again},
  journal =          {Amer. Math. Monthly},
  volume =           {97},
  number =           {2},
  year =             {1990},
  pages =            {125{\textendash}129},
  coden =            {AMMYAE},
  fjournal =         {The American Mathematical Monthly},
  issn =             {0002\texttt{\symbol{45}}9890},
  mrclass =          {11E25 (11Y50)},
  mrnumber =         {1041889 (91b:11039)},
  mrreviewer =       {K. S. Williams},
  printedkey =       {Wag90}
}
@techreport{ wielandt69,
  author =           {Wielandt, H.},
  title =            {Permutation  groups  through  invariant  relations and
                      invariant functions},
  institution =      {Department of Mathematics, The Ohio State University},
  year =             {1969},
  printedkey =       {Wie69},
  type =             {Lecture Notes}
}
@misc{ AGR,
  author =           {Wilson,  R.  A.  and  Walsh,  P.  and  Tripp,  J.  and
                      Suleiman,  I.  and Parker, R. A. and Norton, S. P. and
                      Nickerson,  S. and Linton, S. and Bray, J. and Abbott,
                      R.},
  title =            {{ATLAS of Finite Group Representations}},
  howpublished =     {\href          {http://brauer.maths.qmul.ac.uk/Atlas/}
                      {\texttt{http://brauer.maths.qmul.ac.uk/}\discretionary
                      {}{}{}\texttt{Atlas/}}},
  key =              {ATLAS}
}
@article{ BSW01,
  author =           {Bray,  J.  N.  and Suleiman, I. A. I. and Walsh, P. G.
                      and Wilson, R. A.},
  title =            {Generating maximal subgroups of sporadic simple groups},
  journal =          {Comm. Algebra},
  volume =           {29},
  number =           {3},
  year =             {2001},
  pages =            {1325{\textendash}1337},
  coden =            {COALDM},
  fjournal =         {Communications in Algebra},
  issn =             {0092\texttt{\symbol{45}}7872},
  mrclass =          {20D08},
  mrnumber =         {1842416 (2002e:20032)},
  mrreviewer =       {Hiroyoshi Yamaki},
  printedkey =       {BSWW01}
}
@article{ Wil96,
  author =           {Wilson, R. A.},
  title =            {Standard generators for sporadic simple groups},
  journal =          {J. Algebra},
  volume =           {184},
  number =           {2},
  year =             {1996},
  pages =            {505{\textendash}515},
  coden =            {JALGA4},
  fjournal =         {Journal of Algebra},
  issn =             {0021\texttt{\symbol{45}}8693},
  mrclass =          {20D08},
  mrnumber =         {1409225 (98e:20025)},
  printedkey =       {Wil96}
}
@incollection{ Won95,
  author =           {Wondratschek, H.},
  editor =           {Hahn, T.},
  booktitle =        {International Tables for Crystallography, {V}ol. {A}},
  title =            {Introduction     to     space\texttt{\symbol{45}}group
                      symmetry},
  publisher =        {Kluwer, Dordrecht},
  edition =          {4th},
  year =             {1995},
  pages =            {711{\textendash}735},
  crossref =         {Hah95},
  note =             {Space\texttt{\symbol{45}}group symmetry},
  printedkey =       {Won95}
}
@manual{ Wur93,
  author =           {Wursthorn, M.},
  title =            {{SISYPHOS}   Computing   in  modular  group  algebras,
                      Version 0.5},
  organization =     {Math. Inst. B, 3. Lehrstuhl},
  address =          {Universit{\"a}t Stuttgart},
  year =             {1993},
  printedkey =       {Wur93}
}
@article{ Zagier90,
  author =           {Zagier, D.},
  title =            {A  one\texttt{\symbol{45}}sentence  proof  that  every
                      prime {$p \equiv 1 \pmod 4$} is a sum of two squares},
  journal =          {Amer. Math. Monthly},
  volume =           {97},
  number =           {2},
  year =             {1990},
  pages =            {144},
  coden =            {AMMYAE},
  fjournal =         {The American Mathematical Monthly},
  issn =             {0002\texttt{\symbol{45}}9890},
  mrclass =          {11E25},
  mrnumber =         {1041893 (91b:11040)},
  mrreviewer =       {K. S. Williams},
  printedkey =       {Zag90}
}
@mastersthesis{ Zum89,
  author =           {Zumbroich, M.},
  title =            {{Grundlagen}        einer        {Arithmetik}       in
                      {Kreisteilungsk{\"o}rpern}  und  ihre {Implementation}
                      in {CAS}},
  school =           {Lehrstuhl     D    f{\"u}r    Mathematik,    Rheinisch
                      Westf{\"a}lische Technische Hochschule},
  address =          {Aachen, Germany},
  year =             {1989},
  printedkey =       {Zum89},
  type =             {Diplomarbeit}
}
@proceedings{ Oxford67,
  editor =           {Leech, J.},
  booktitle =        {Computational  Problems  in  Abstract  Algebra,  Proc.
                      Conf. Oxford, 1967},
  title =            {Computational problems in abstract algebra},
  publisher =        {Pergamon Press},
  series =           {Proceedings  of  a Conference held at Oxford under the
                      auspices   of  the  Science  Research  Council,  Atlas
                      Computer Laboratory},
  volume =           {29},
  address =          {Oxford},
  year =             {1970},
  pages =            {x+402},
  mrclass =          {00.04 (10.00)},
  mrnumber =         {0252149 (40 \#5374)},
  reviews =          {MR 40\#5374, Zbl 186.299},
  printedkey =       {Lee70}
}
@proceedings{ Canberra73,
  editor =           {Newman, M. F.},
  booktitle =        {Proceedings  of the Second International Conference on
                      the Theory of Groups, Canberra, 1973},
  title =            {Proceedings    of    the    {S}econd   {I}nternational
                      {C}onference on the {T}heory of {G}roups},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Lecture Notes in Math.},
  volume =           {372},
  address =          {Berlin},
  year =             {1974},
  pages =            {vii+740},
  note =             {Held  at the Australian National University, Canberra,
                      August  13{\textendash}24,  1973, With an introduction
                      by  B.  H. Neumann, Lecture Notes in Mathematics, Vol.
                      372},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {0344315 (49 \#9054)},
  reviews =          {MR 49\#9054, Zbl 282.00012},
  printedkey =       {New74}
}
@proceedings{ Canberra75,
  editor =           {Bryce, R. A. and Cossey, J. and Newman, M. F.},
  booktitle =        {Group  theory,  Proc.  Miniconf., Austral. Nat. Univ.,
                      Canberra, 1975},
  title =            {Group theory},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Lecture Notes in Math.},
  volume =           {573},
  address =          {Berlin},
  year =             {1977},
  pages =            {v+146},
  note =             {Lecture Notes in Mathematics, Vol. 573},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {0430032 (55 \#3040)},
  reviews =          {MR 55\#3040, Zbl 342.00008},
  printedkey =       {BCN77}
}
@proceedings{ Bielefeld77,
  editor =           {Mennicke, J. L.},
  booktitle =        {Proceedings  of  a  Workshop held at the University of
                      Bielefeld, Bielefeld, June{\textendash}July 1977},
  title =            {Burnside groups},
  publisher =        {Springer},
  series =           {Lecture Notes in Mathematics},
  volume =           {806},
  address =          {Berlin},
  year =             {1980},
  pages =            {ii+274},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}10006\texttt{\symbol{45}}7},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {586041 (81j:20002)},
  reviews =          {MR 81j:20002, Zbl 424.00008},
  printedkey =       {Men80}
}
@proceedings{ EUROSAM79,
  editor =           {Ng, E. W.},
  title =            {Symbolic and algebraic computation},
  publisher =        {Springer\texttt{\symbol{45}}Verlag},
  series =           {Lecture Notes in Computer Science},
  volume =           {72},
  address =          {Berlin},
  year =             {1979},
  pages =            {xv+557},
  note =             {EUROSAM   '79,  an  International  Symposium  held  in
                      Marseille, June 1979},
  isbn =             {3\texttt{\symbol{45}}540\texttt{\symbol{45}}09519\texttt{\symbol{45}}5},
  mrclass =          {68\texttt{\symbol{45}}06 (68C20)},
  mrnumber =         {575677 (81d:68005)},
  printedkey =       {Ng79}
}
@proceedings{ Durham1982,
  editor =           {Atkinson, M. D.},
  booktitle =        {Proceedings   of   the   London  Mathematical  Society
                      symposium  held  in Durham, July 30{\textendash}August
                      9, 1982},
  title =            {Computational group theory},
  publisher =        {Academic   Press   Inc.   [Harcourt  Brace  Jovanovich
                      Publishers]},
  address =          {London},
  year =             {1984},
  pages =            {xii+375},
  isbn =             {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1},
  mrclass =          {20\texttt{\symbol{45}}06 (68\texttt{\symbol{45}}06)},
  mrnumber =         {760641 (85g:20001)},
  printedkey =       {Atk84}
}
@proceedings{ GrpsStAndrews81,
  editor =           {Campbell, C. M. and Robertson, E. F.},
  booktitle =        {Proceedings  of the International Conference on Groups
                      held  at  the Mathematical Institute, University of St
                      Andrews,  St.  Andrews,  July 25{\textendash}August 8,
                      1981},
  title =            {Groups{\textendash}{S}t. {A}ndrews 1981},
  publisher =        {Cambridge University Press},
  series =           {London Mathematical Society Lecture Note Series},
  volume =           {71},
  address =          {Cambridge},
  year =             {1982},
  pages =            {viii+360},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}28974\texttt{\symbol{45}}2},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {679152 (83j:20005)},
  printedkey =       {CR82}
}
@proceedings{ Singapore87,
  editor =           {Cheng, K. N. and Leong, Y. K.},
  booktitle =        {Proceedings  of  the Singapore Group Theory Conference
                      held   at   the   National  University  of  Singapore,
                      Singapore, June 8{\textendash}19, 1987},
  title =            {Group theory},
  publisher =        {Walter de Gruyter \& Co.},
  address =          {Berlin},
  year =             {1989},
  pages =            {xviii + 586},
  isbn =             {3\texttt{\symbol{45}}11\texttt{\symbol{45}}011366\texttt{\symbol{45}}X},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {981831 (89j:20001)},
  printedkey =       {CL89}
}
@proceedings{ MR91,
  editor =           {Michler, G. O. and Ringel, C. M.},
  booktitle =        {Proceedings  of  the conference held at the University
                      of Bielefeld, Bielefeld, May 15{\textendash}17, 1991},
  title =            {Representation    theory    of   finite   groups   and
                      finite\texttt{\symbol{45}}dimensional algebras},
  publisher =        {Birkh{\"a}user Verlag},
  series =           {Progress in Mathematics},
  volume =           {95},
  address =          {Basel},
  year =             {1991},
  pages =            {x+520},
  isbn =             {3\texttt{\symbol{45}}7643\texttt{\symbol{45}}2604\texttt{\symbol{45}}2},
  mrclass =          {20\texttt{\symbol{45}}06                        (00B25
                      16\texttt{\symbol{45}}06 20Cxx)},
  mrnumber =         {1112154 (91m:20005)},
  printedkey =       {MR91}
}
@proceedings{ ISSAC91,
  booktitle =        {Proceedings of the International Symposium on Symbolic
                      and Algebraic Computation (ISSAC'91), Bonn 1991},
  title =            {Proceedings  of  the  1991  International Symposium on
                      Symbolic  and  Algebraic  Computation (ISSAC'91), Bonn
                      1991},
  publisher =        {ACM Press},
  year =             {1991},
  printedkey =       {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY}
}
@proceedings{ ISSAC97,
  editor =           {K{\"u}chlin, W.},
  title =            {Proceedings of the 1997 {I}nternational {S}ymposium on
                      {S}ymbolic and {A}lgebraic {C}omputation},
  organization =     {The Association for Computing Machinery},
  publisher =        {Association for Computing Machinery (ACM)},
  address =          {New York},
  year =             {1997},
  pages =            {electronic},
  note =             {Held in Kihei, HI, July 21{\textendash}23, 1997},
  key =              {ACM},
  mrclass =          {68\texttt{\symbol{45}}06     (65\texttt{\symbol{45}}06
                      68W30)},
  mrnumber =         {1809584 (2001i:68010)}
}
@proceedings{ MR1805195,
  editor =           {Gloor, O.},
  title =            {Proceedings of the 1998 {I}nternational {S}ymposium on
                      {S}ymbolic and {A}lgebraic {C}omputation},
  organization =     {The Association for Computing Machinery},
  publisher =        {Association for Computing Machinery (ACM)},
  address =          {New York},
  year =             {1998},
  pages =            {front matter+321 pp. (electronic)},
  note =             {Held in Rostock, August 13{\textendash}15, 1998},
  key =              {ACM},
  mrclass =          {68\texttt{\symbol{45}}06 (00B25 68W30)},
  mrnumber =         {1805195 (2001m:68004)}
}
@proceedings{ DIMACS,
  editor =           {Finkelstein, L. and Kantor, W. M.},
  booktitle =        {Proceedings  of  the  DIMACS  Workshop held at Rutgers
                      University,   New   Brunswick,   New  Jersey,  October
                      7{\textendash}10, 1991},
  title =            {Groups and computation},
  publisher =        {American Mathematical Society},
  series =           {DIMACS  Series in Discrete Mathematics and Theoretical
                      Computer Science, 11},
  address =          {Providence, RI},
  year =             {1993},
  pages =            {xx+313},
  isbn =             {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}6599\texttt{\symbol{45}}4},
  mrclass =          {20\texttt{\symbol{45}}06 (20B40)},
  mrnumber =         {1235790 (94c:20003)},
  printedkey =       {FK93}
}
@proceedings{ DIMACS2,
  editor =           {Finkelstein, L. and Kantor, W. M.},
  booktitle =        {Proceedings of the 2nd DIMACS Workshop held at Rutgers
                      University,  New Brunswick, NJ, June 7{\textendash}10,
                      1995},
  title =            {Groups and computation. {II}},
  publisher =        {American Mathematical Society},
  series =           {DIMACS  Series in Discrete Mathematics and Theoretical
                      Computer Science, 28},
  address =          {Providence, RI},
  year =             {1997},
  pages =            {xviii+382},
  isbn =             {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}0516\texttt{\symbol{45}}9},
  mrclass =          {20\texttt{\symbol{45}}06 (68\texttt{\symbol{45}}06)},
  mrnumber =         {1444126 (97m:20003)},
  printedkey =       {FK97}
}
@proceedings{ DIMACS3,
  editor =           {Kantor, W. M. and Seress, {\a'A}.},
  booktitle =        {Proceedings  of  the 3rd International Conference held
                      at  The  Ohio  State  University,  Columbus,  OH, June
                      15{\textendash}19, 1999},
  title =            {Groups and computation. {III}},
  publisher =        {Walter de Gruyter \& Co.},
  series =           {Ohio  State University Mathematical Research Institute
                      Publications, 8},
  address =          {Berlin},
  year =             {2001},
  pages =            {viii+368},
  isbn =             {3\texttt{\symbol{45}}11\texttt{\symbol{45}}016721\texttt{\symbol{45}}2},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {1829467 (2002d:20003)},
  printedkey =       {KS01}
}
@proceedings{ DIMACS94,
  editor =           {Baumslag, G. and Epstein, D. and Gilman, R. and Short,
                      H. and Sims, C.},
  booktitle =        {Proceedings   of   the  Joint  DIMACS/Geometry  Center
                      Workshop   held   at   the  University  of  Minnesota,
                      Minneapolis, Minnesota, January 3{\textendash}14, 1994
                      and  Rutgers  University,  New  Brunswick, New Jersey,
                      March 17{\textendash}20, 1994},
  title =            {Geometric  and  computational perspectives on infinite
                      groups},
  publisher =        {American Mathematical Society},
  series =           {DIMACS  Series in Discrete Mathematics and Theoretical
                      Computer Science, 25},
  address =          {Providence, RI},
  year =             {1996},
  pages =            {xvi+212},
  isbn =             {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}0449\texttt{\symbol{45}}9},
  mrclass =          {20F32 (20\texttt{\symbol{45}}06)},
  mrnumber =         {1364175 (96g:20055)},
  printedkey =       {BEGSS96}
}
@proceedings{ Groups93Vol1,
  editor =           {Campbell, C. M. and Hurley, T. C. and Robertson, E. F.
                      and Tobin, S. J. and Ward, J. J.},
  booktitle =        {Proceedings  of  the  International Conference held at
                      University  College,  Galway, August 1{\textendash}14,
                      1993},
  title =            {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 1},
  publisher =        {Cambridge University Press},
  series =           {London Mathematical Society Lecture Note Series},
  volume =           {211},
  address =          {Cambridge},
  year =             {1995},
  pages =            {xii+304},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}47749\texttt{\symbol{45}}2},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {1342775 (96b:20001a)},
  printedkey =       {CHRTW95}
}
@proceedings{ Groups93Vol2,
  editor =           {Campbell, C. M. and Hurley, T. C. and Robertson, E. F.
                      and Tobin, S. J. and Ward, J. J.},
  booktitle =        {Proceedings  of  the  International Conference held at
                      University  College,  Galway, August 1{\textendash}14,
                      1993},
  title =            {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 2},
  publisher =        {Cambridge University Press},
  series =           {London Mathematical Society Lecture Note Series},
  volume =           {212},
  address =          {Cambridge},
  year =             {1995},
  pages =            {i{\textendash}xii and 305{\textendash}609},
  isbn =             {0\texttt{\symbol{45}}521\texttt{\symbol{45}}47750\texttt{\symbol{45}}6},
  mrclass =          {20\texttt{\symbol{45}}06},
  mrnumber =         {1337278 (96b:20001b)},
  printedkey =       {CHRTW95}
}
@proceedings{ Luminy94,
  editor =           {Cabanes, M.},
  booktitle =        {Proceedings  of  the  International Conference held in
                      Luminy, October 3{\textendash}7, 1994},
  title =            {Finite reductive groups},
  publisher =        {Birkh{\"a}user Boston Inc.},
  series =           {Progress in Mathematics},
  volume =           {141},
  address =          {Boston, MA},
  year =             {1997},
  pages =            {xii+452},
  note =             {Related structures and representations},
  isbn =             {0\texttt{\symbol{45}}8176\texttt{\symbol{45}}3885\texttt{\symbol{45}}7},
  mrclass =          {20\texttt{\symbol{45}}06 (20G40)},
  mrnumber =         {1429866 (97i:20001)},
  printedkey =       {Cab97}
}
@proceedings{ ISSAC98,
  booktitle =        {ISSAC  '98:  Proceedings  of  the  1998  international
                      symposium on Symbolic and algebraic computation},
  title =            {ISSAC  '98:  Proceedings  of  the  1998  international
                      symposium on Symbolic and algebraic computation},
  organization =     {ACM},
  publisher =        {ACM Press},
  address =          {New York, NY, USA},
  year =             {1998},
  note =             {Chairman: Volker Weispfenning and Barry Trager},
  isbn =             {1\texttt{\symbol{45}}58113\texttt{\symbol{45}}002\texttt{\symbol{45}}3},
  location =         {Rostock, Germany},
  source =           {ACM Order No.: 505980, ACM member price \$25},
  printedkey =       {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY}
}
@article{ MR1820589,
  author =           {Schur, J.},
  title =            {On the representation of the symmetric and alternating
                      groups by fractional linear substitutions},
  journal =          {Internat. J. Theoret. Phys.},
  volume =           {40},
  number =           {1},
  year =             {2001},
  pages =            {413{\textendash}458},
  note =             {Translated  from the German [J. Reine Angew. Math. 139
                      (1911),             155{\textendash}250]            by
                      Marc\texttt{\symbol{45}}Felix Otto},
  coden =            {IJTPBM},
  fjournal =         {International Journal of Theoretical Physics},
  issn =             {0020\texttt{\symbol{45}}7748},
  mrclass =          {20C25 (05E05 20C30)},
  mrnumber =         {1820589 (2003a:20016)},
  mrreviewer =       {Tadeusz J{\a'o}zefiak},
  url =              {https://doi.org/10.1023/A:1003772419522},
  doi =              {10.1023/A:1003772419522},
  printedkey =       {Sch01}
}
@article{ Schur1911,
  author =           {Schur, J.},
  title =            {{\"U}ber  die  Darstellung  der  symmetrischen und der
                      alternierenden   Gruppe   durch   gebrochene   lineare
                      Substitutionen},
  journal =          {Journal f{\"u}r die reine und angewandte Mathematik},
  volume =           {139},
  year =             {1911},
  pages =            {155{\textendash}250},
  url =              {https://www.digizeitschriften.de/resolveppn/GDZPPN002167298},
  jfm =              {42.0154.02},
  printedkey =       {Sch11}
}
@article{ Maas2010,
  author =           {Maas, L.},
  title =            {On a construction of the basic spin representations of
                      symmetric groups},
  journal =          {Communications in Algebra},
  volume =           {38},
  year =             {2010},
  pages =            {4545{\textendash}4552},
  url =              {https://arxiv.org/abs/0911.3794},
  doi =              {10.1080/00927872.2010.490541},
  printedkey =       {Maa10}
}
@article{ BLS1975,
  author =           {Brillhart, J. and Lehmer, D. and Selfridge, J.},
  title =            {New  primality criteria and factorizations of $2^m \pm
                      1$},
  journal =          {Mathematics of Computation},
  volume =           {29},
  year =             {1975},
  pages =            {620{\textendash}647},
  url =              {https://doi.org/10.2307/2005583},
  doi =              {10.2307/2005583},
  printedkey =       {BLS75}
}
