@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{ DFO13,
author = {Detinko, A. S. and Flannery, D. L. and O
'Brien, E. A.},
title = {Recognizing finite matrix groups over infinite fields},
journal = {J. Symbolic Comput.},
volume = {50},
year = {2013},
pages = {100{
\textendash}109},
fjournal = {
Journal of Symbolic Computation},
issn = {0747
\texttt{
\symbol{45}}7171},
url = {
https://doi.org/10.1016/j.jsc.2012.04.002},
doi = {10.1016/j.jsc.2012.04.002},
printedkey = {DFO13}
}
@
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},
--> --------------------
--> maximum size reached
--> --------------------
