%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%S Series . . . . . . . . . . . . . . . . . . . . abbreviations for series
%%
%% The following strings are abbreviations for series, which are used in
%% *books*, *inbook*, and *proceedings*.
%%
@string{ AachenBM = "Aachener Beitr{\accent127a}ge zur Mathematik" }
@string{ BayreuMS = "Bay\-reu\-ther Math. Schr." }
@string{ GMathWiss = "Grundlehren Math. Wiss." }
@string{ LMSLec = "London Math. Soc. Lecture Note Series" }
@string{ LMSMon = "London Math. Soc. Monographs" }
@string{ LNM = "Lecture Notes in Math." }
@string{ OxfordMM = "Oxford Math. Monographs" }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%S Schools, Institutions, Organizations . . . . . abbreviations for schools
%%
%% The following strings are abbreviations for schools, institutions, and
%% organizations, which are used in *masterthesis* (schools), *techreports*
%% (institutions), and *manuals* (organizations).
%%
@string{ DublinIAS = "Dublin Inst. Adv. Studies" }
@string{ RWTH = "Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche
Hoch\-schule" }
@string{ RWTHLDfM = "Lehr\-stuhl D f{\accent127 u}r Ma\-the\-ma\-tik,
Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche
Hoch\-schule" }
@string{ RWTH-A = "Aachen, Germany" }
@string{ UBath = "University of Bath" }
@string{ UBathSMS = "School of Mathematical Sciences,
University of Bath" }
@string{ UBath-A = "Bath, United Kingdom" }
@string{ UBayreu = "Universit{\accent127a}t Bayreuth" }
@string{ UBayreu-A = "Bayreuth, Germany" }
@string{ UBonn = "Rheinische Friedrich Wilhelm Universit{\accent127a}t
Bonn" }
@string{ UBonn-A = "Bonn, Germany" }
@string{ UEssen = "Universit{\accent127a}t Essen" }
@string{ UEssen-A = "Essen, Germany" }
@string{UHeidel = "Universit{\accent127a}t Heidelberg" }
@string{ UKiel = "Universit{\accent127a}t Kiel" }
@string{ UKiel-A = "Kiel, Germany" }
@string{ McGillU = "McGill University" }
@string{ McGillU-A = "Montreal, Canada" }
@string{ USydney = "University of Sydney" }
@string{ USydBDCS = "Basser Department of Computer Science,
University of Sydney" }
@string{ USydDPM = "Department of Pure Mathematics,
University of Sydney" }
@string{ USydney-A = "Sydney, Australia" }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%S Publishers . . . . . . . . . . . . . . . . abbreviations for publishers
%%
%% The following strings are abbreviations for publishers, which are used in
%% *books*, *inbook*, and *proceedings*.
%%
@string{ AcaPress = "Academic Press" }
@string{ ACM = "ACM Press" }
@string{ AddWes = "Addison-Wesley" }
@string{ AMS = "American Mathematical Society" }
@string{ Birkhaeus = "Birkh{\accent127a}user, Basel" }
@string{ BIWissV = "BI-Wis\-sen\-schafts\-ver\-lag, Mannheim" }
@string{ CamUPress = "Cambridge University Press" }
@string{ Dover = "Dover Publications, New York" }
@string{ Gruyter = "Walter de Gruyter, Berlin, New York" }
@string{ HDeutsch = "Verlag Harri Deutsch, Frankfurt/Main" }
@string{ Macmillan = "The Macmillan Company, New York" }
@string{ OxUnPress = "Oxford University Press" }
@string{ Pergamon = "Pergamon Press, Oxford" }
@string{ Springer = "Springer, Berlin, Heidelberg and New York" }
@string{ Wiley = "John Wiley, New York" }
@string{ Reidel = "Reidel, Dordrecht, Boston" }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%R References . . . . . . . . . . . . . . . . . . . . . . . . . references
%%
%% The following are the references. They are ordered with respect to the
%% last name of the first author.
%%
@phdthesis{Abb89,
author = "J.~A.~Abbott",
title = "On the Factorization of Polynomials over Algebraic Fields",
school = UBathSMS,
month = "September",
year = "1989",
}
@Article{AL82,
author = "D. Alvis and G. Lusztig",
title = "The representations and generic degrees of the {Hecke}
algebra of type {$H_4$}",
journal = "J. reine angew. Math.",
year = 1982,
volume = 336,
pages = "201--212",
note = "Correction\:\ ibid. {\bf 449}, 217--218 (1994)"
}
@Article{Alv87,
author = "Alvis, D.",
title = "The left cells of the {Coxeter} group of type {$H_4$}",
journal = JALGE,
year = 1987,
volume = 107,
pages = "160--168"
}
@inproceedings{AMW82,
author = "D[avid] G. Arrell and
S[anjiv] Manrai and
M[ichael] F. Worboys",
title = "A procedure for obtaining simplified defining
relations for a subgroup",
crossref = "GrpsStAndrews81",
pages = "155--159",
keywords = "finitely presented groups;
subgroup presentation, simplification;
modified Todd Coxeter (mtc), tree decoding;
algorithm description",
reviews = "MR 84a:20041 (from the introduction),
Zbl 488.20003 (J. Neub{\accent127u}ser)",
}
@inproceedings{AR84,
author = "D[avid] G. Arrell and
E[dmund] F. Robertson",
title = "A modified {T}odd-{C}oxeter algorithm",
crossref = "Durham1982",
pages = "27--32",
keywords = "finitely presented groups;
subgroup presentation, simplification;
modified Todd Coxeter (mtc), tree decoding;
algorithm description",
reviews = "MR 86g:20042 (J.~D. Macdonald),
Zbl 556.20001 (J. Neub{\accent127u}ser)",
}
@book{Art68,
author = "E[mil] Artin",
title = "Galoissche Theorie",
year = "1968",
publisher = HDeutsch,
}
@phdthesis{Bau91,
author = "Ulrich Baum",
title = "Existenz und effiziente {K}onstruktion schneller
{F}ouriertransformationen
{\accent127u}beraufl{\accent127o}sbarer {G}ruppen",
type = "Dissertation",
year = "1991",
school = UBonn,
address = UBonn-A,
}
@article{BC94,
author = "Ulrich Baum and
Michael Clausen",
title = "Computing irreducible representations
of supersolvable groups",
journal = MATHC2,
volume = "207",
pages = "351--359",
year = "1994",
}
@inproceedings{BCFS91,
author = "L[\'aszl\'o] Babai and
G[ene] Cooperman and
L[arry] Finkelstein and
\'A[kos] Seress",
title = "Nearly Linear Time Algorithms for Permutation Groups with
a Small Base",
pages = "200--209",
crossref = "ISSAC91",
}
@article{BC76,
author = "M[ichael] J. Beetham and
C[olin] M. Campbell",
title = "A note on the {T}odd-{C}oxeter coset enumeration
algorithm",
journal = PROEM,
volume = "20",
pages = "73--79",
year = "1976",
keywords = "finitely presented groups;
subgroup presentation;
modified Todd Coxeter (mtc);
algorithm description",
reviews = "MR 53 # 3116 (D.~L. Johnson),
Zbl 328.20032 (Summary)"
}
@Article{Ben76,
author = "M. Benard",
title = "{S}chur indices and splitting fields of the unitary
reflection groups",
journal= JALGE,
year= 1976,
volume= 38,
pages= "318--342"
}
@Article{BC72,
author = "C. T. Benson and C. W. Curtis",
title = "On the degrees and rationality of certain characters of
finite {Chevalley} groups",
journal = TRAAM,
year = 1972,
volume = 165,
pages = "251--273"
}
@article{Ber76,
author = "T. R. Berger",
title = "Characters and Derived Length in Groups of Odd Order",
journal = JALGE,
volume = "39",
pages = "199--207",
year = "1976",
}
@article{BescheEick98,
author = "Hans Ulrich Besche and Bettina Eick",
title = "Construction of finite groups",
journal = JSYMC,
pages = "387--404",
volume = 27,
number = 4,
year = "1999"}
@article{BescheEick1000,
author = "Hans Ulrich Besche and Bettina Eick",
title = "The groups of order at most 1000 except 512 and 768",
journal = JSYMC,
pages = "405--413",
volume = 27,
number = 4,
year = "1999"}
@article{BescheEick768,
author = "Hans Ulrich Besche and Bettina Eick",
title = "The groups of order $q^n \cdot p$",
journal = "Comm. Alg.",
volume = 29,
number = 4,
year = "2001",
pages = "1759--1772"}
@misc{BEO01,
author = "Hans Ulrich Besche and Bettina Eick and E. A. O'Brien",
title = "A millennium project: constructing small groups",
year = "In preparation"}
@mastersthesis{Bis89,
author = "Thomas Bischops",
title = "Collectoren im {P}rogrammsystem {GAP}",
type = "Diplomarbeit",
year = "1989",
school = RWTHLDfM,
address = RWTH-A,
}
@techreport{BC92,
author = "Wieb Bosma and
John [J.] Cannon",
title = "Handbook of {Cayley} Functions",
year = "1992",
institution = USydDPM,
address = USydney-A,
keywords = "system design;
Cayley;;
manual",
notes = "PAGES: 282",
}
@Book{Bou68,
author = "Bourbaki, N.",
title = "Groupes et alg{\accent18e}bres de {L}ie, {C}h.~4--6",
publisher = "Hermann, Paris",
year = 1968,
note = "Masson, Paris\:\ 1981"
}
@article{BC89,
author = "Richard P. Brent and
Graeme L. Cohen",
title = "A New Lower Bound for Odd Perfect Numbers",
journal = MATHC3,
volume = "53",
pages = "431--437",
year = "1989",
}
@mastersthesis{Bre91,
author = "Thomas Breuer",
title = "Potenzabbildungen, {U}ntergruppenfusionen,
{T}afel-{A}utomorphismen",
type = "Diplomarbeit",
year = "1991",
school = RWTHLDfM,
address = RWTH-A,
}
@article{BL96,
author = "Thomas Breuer and
Klaus Lux",
title = "The multiplicity-free permutation characters
of the sporadic simple groups
and their automorphism groups",
journal = "Comm. Alg.",
volume = "24",
number = "7",
year = "1996",
pages = "2293--2316",
}
@article{Bre97,
author = "Thomas Breuer",
title = "Integral Bases for Subfields of Cyclotomic Fields",
journal = "AAECC",
volume = "8",
year = "1997",
pages = "279--289",
}
@article{BP98,
author = "Thomas Breuer and
G{\accent127o}tz Pfeiffer",
title = "Finding {P}ossible {P}ermutation {C}haracters",
journal = JSYMC,
volume = "26",
year = "1998",
pages = "343--354",
}
@inproceedings{BreuerLinton98,
author = "Thomas Breuer and Steve Linton",
title = "The {GAP~4} Type System. Organizing Algebraic Algorithms",
crossref = "ISSAC98",
pages = "38--45"
}
@article{Bre99,
author = "Thomas Breuer",
title = "{C}omputing {P}ossible {C}lass {F}usions from {C}haracter
{T}ables",
journal = COMMA2,
volume = "27",
number = "6",
year = "1999",
pages = "2733--2748",
}
@inbook{BN95,
author = "Thomas Breuer and Simon P.~Norton",
title = "Improvements to the {A}tlas",
crossref = "JLPW95",
pages = "297--327",
}
@Article{Bri71,
author = "Brieskorn, E.",
title = "Die {Fundamentalgruppe} des {Raumes} der
regul{\accent127a}ren {Orbits} einer endlichen komplexen
{Spiegelungsgruppe}",
journal = INVEM,
year = 1971,
volume = 12,
pages = "57--61"
}
@Article{BS72,
author = "E. Brieskorn and K. Saito",
title = "{A}rtin-{G}ruppen und {C}oxeter-{G}ruppen",
journal = INVEM,
year = 1972,
volume = 17,
pages = "245--271"
}
@InCollection{BM93,
author = "M. Brou{\accent19e} and G. Malle",
title = "Zyklotomische {H}eckealgebren",
crossref = "Asterisque212",
pages = "119--189"
}
@InCollection{BMM93,
author = "M. Brou{\accent19e} and G. Malle and J. Michel",
title = "Generic blocks of finite reductive groups",
crossref = "Asterisque212",
pages = "7--92"
}
@BOOK{Asterisque212,
author = "M. Brou{\accent19e} and G. Malle and J. Michel",
title = "Repr{\accent19e}sentations
unipotentes g{\accent19e}n{\accent19e}riques
et blocs des groupes r{\accent19e}ductifs finis",
booktitle = "Repr{\accent19e}sentations
unipotentes g{\accent19e}n{\accent19e}riques
et blocs des groupes r{\accent19e}ductifs fini",
publisher = "Soci{\accent19e}t{\accent19e} {M}ath{\accent19e}matique
de {F}rance",
series = "Ast{\accent19e}risque",
volume = 212,
year = 1993
}
@book{Baker84,
author = "Baker, Alan",
title = "A concise introduction to the theory of numbers",
year = 1984,
publisher = CamUPress,
pages = "27-33"
}
@book{BCN89,
author = "A.E. Brouwer and
A.M. Cohen and
A. Neumaier",
title = "Distance-Regular Graphs",
year = "1989",
publisher = Springer,
}
@book{BBNWZ78,
author = "Harold Brown and
Rolf B{\accent127u}low and
Joachim Neub{\accent127u}ser and
Hans Wondratschek and
Hans Zassenhaus",
title = "Crystallographic Groups of Four-Dimensional Space",
year = "1978",
publisher = Wiley,
}
@article{BCMa,
Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
Title = "Some Recognizable Properties of Solvable Groups",
Journal = "Math. Z.",
Year = {1981},
Volume = {178},
Pages = {289--295}
}
@article{BCMb,
Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
Title = "Computable Algebra and Group Embeddings",
Journal = "J. Algebra",
Year = {1981},
Volume = {69},
Pages = {186--212}
}
@book{Bourbaki70,
author = "N. Bourbaki",
title = "{\'El\'ements de Math\'ematique, Alg\`ebre I}",
publisher = "Hermann, Paris",
year = 1970,
volume = 1
}
@article{BuekenhoutLeemans96,
author = {Buekenhout, Francis and Leemans, Dimitri},
title = {On the list of finite primitive permutation groups of degree
$\leq50$},
journal = JSYMC,
volume = {22},
year = {1996},
number = {2},
pages = {215--225}
}
@article{BM83,
author = "Gregory Butler and
John McKay",
title = "The transitive groups of degree up to 11",
journal = COMMA2,
volume = "11",
year = "1983",
pages = "863--911",
}
@article{Butler93,
author = "Gregory Butler",
title = "The transitive groups of degree fourteen and fifteen",
journal = JSYMC,
volumn = "16",
year = "1993",
pages = "413--422"
}
@phdthesis{Bra89,
author = "R. J. Bradford",
title = "On the computation of integral bases and defects of
integrity",
school = UBathSMS,
year = "1989",
}
@article{BTW93,
author = "Bernhard Beauzamy and
Vilmar Trevisan and
Paul~S.~Wang",
title = "Polynomial Factorization:
Sharp Bounds, {E}fficient Algorithms",
journal = JSYMC,
volume = "15",
year = "1993",
pages = "393--413",
}
@book{Bur55,
author = "W[illiam~S.] Burnside",
title = "Theory of Groups of Finite Order",
note = "Unabridged republication of the second edition,
published in 1911",
year = "1955",
publisher = Dover,
notes = "PAGES: xxiv + 512",
}
@article{But82,
author = "Gregory Butler",
title = "Computing in Permutation and Matrix Groups {II}:
Backtrack Algorithm",
journal = MATHC3,
volume = "39",
pages = "671--680",
year = "1982",
keywords = "permutation groups, matrix groups;;
backtrack through stabilizer chain",
reviews = "MR 83k:20004b (J.~D. Dixon),
Zbl 552.20003 (see Zbl 552.20004 for a review of this article)",
}
@article{But85a,
author = "Gregory Butler",
title = "Effective Computation with Group Homomorphisms",
journal = JSYMC,
volume = "1",
pages = "143--157",
year = "1985",
keywords = "permutation groups;
homomorphisms",
reviews = "MR 87b:68057 (Summary),
Zbl 572.20001 (J. Neub{\accent127u}ser)",
notes = "TR 184 BDCS (1982), 41 pages",
}
@mastersthesis{Cam71,
author = "Harvey A. Campbell",
title = "An extension of coset enumeration",
type = "M. {S}c. thesis",
year = "1971",
school = McGillU,
address = McGillU-A,
keywords = "finitely presented groups;
subgroup presentation;
modified Todd Coxeter (mtc);
program description",
}
@article{Can73,
author = "John J. Cannon",
title = "Construction of defining relators for finite groups",
journal = "Discrete Math.",
volumn = "5",
year = "1973",
pages = "105--129",
}
@Article{Car72,
author = "R. W. Carter",
title = "Conjugacy classes in the {Weyl} group",
journal = "Compositio Math.",
year = 1972,
volume = 25,
pages = "1--59"
}
@Book{Car85,
author = "R. W. Carter",
title = "Finite groups of {Lie} type: {Conjugacy} classes and
complex characters",
publisher = "Wiley, New York",
year = 1985
}
@Article{Car86,
author = "R. W. Carter",
title = "Representation Theory of the 0--{H}ecke Algebra",
journal = JALGE,
year = 1986,
volume = 104,
pages = "89--103"
}
@Book{Car72a,
author = "R. W. Carter",
title = "Simple groups of Lie type",
publisher = "John Wiley and Sons",
series = "Pure and Applied Mathematics",
volume = 28,
year = 1972,
}
@mastersthesis{Cel92,
author = "Frank Celler",
title = "Kohomologie und {N}ormalisatoren in {GAP}",
type = "Diplomarbeit",
year = "1992",
school = RWTHLDfM,
address = RWTH-A,
}
@article{CNW90,
author = "Frank Celler and
Joachim Neub{\accent127u}ser and
Charles~R.~B. Wright",
title = "Some remarks on the computation of complements and
normalizers in soluble groups",
journal = "Acta Applicandae Mathematicae",
volume = "21",
pages = "57--76",
year = "1990",
}
@Article{Cha92,
author = "Charney, R.",
title = "Artin groups of finite type are bi-automatic",
journal = MATHA,
year = 1992,
volume = 292,
pages = "671--683"
}
@article{Cla97,
author = "Michael Clausen",
title = "A Direct Proof of {M}inkwitz's Extension Theorem",
journal = "AAECC",
year = "1997",
volume = "8",
pages = "305--306"
}
@book{Coh93,
author = "Henri Cohen",
title = "A Course in Computational Algebraic Number Theory",
series = "Graduate Texts in Mathematics",
volume = "138",
year = "1993",
publisher = Springer,
}
@article{Con90a,
author = "S[am] B. Conlon",
title = "Calculating Characters of $p$-groups",
journal = JSYMC,
volume = "9",
number = "5 \& 6",
pages = "535--550",
year = "1990",
}
@article{Con90b,
author = "S[am] B. Conlon",
title = "Computing Modular and Projective Character Degrees
of Soluble Groups",
journal = JSYMC,
volume = "9",
number = "5 \& 6",
pages = "551--570",
year = "1990",
}
@book{CCN85,
author = "J[ohn] H. Conway and
R[obert] T. Curtis and
S[imon] P. Norton and
R[ichard] A. Parker and
R[obert] A. Wilson",
title = "Atlas of finite groups",
year = "1985",
publisher = OxUnPress,
}
@article{ConwayHulpkeMckay98,
author = "John~H. Conway and Alexander Hulpke and John McKay",
title = "On transitive permutation groups",
journal = "LMS J. Comput. Math.",
volume = 1,
pages = "1--8",
year = "1998"}
@article{CF94,
AUTHOR = {Cooperman, Gene and Finkelstein, Larry},
TITLE = {A random base change algorithm for permutation groups},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {17},
YEAR = {1994},
NUMBER = {6},
PAGES = {513--528},
ISSN = {0747-7171},
MRCLASS = {68Q40 (20B07)},
MRNUMBER = {96a:68048},
}
@Book{CR87,
author = "C. W. Curtis and I. Reiner",
title = "Methods of representation theory, vol. {I}, {II}",
publisher = Wiley,
year = "1981/1987"
}
@Article{Del72,
author = "Deligne, P.",
title = "Les immeubles des groupes de tresses
g{\accent19e}n{\accent19e}ralis{\accent19e}s",
journal = INVEM,
year = 1972,
volume = 17,
pages = "273--302"
}
@Article{Deo89,
author = "Deodhar, V.V.",
title = "A note on subgroups generated by reflections in
{C}oxeter groups",
journal = ARCMB1,
year = 1989,
volume = 53,
pages = "543--546"
}
@article{Dix67,
author = "J[ohn] D. Dixon",
title = "High Speed Computations of Group Characters",
journal = NUMEM,
volume = "10",
pages = "446--450",
year = "1967",
}
@article{DixonMortimer88,
author = "John~D. Dixon and Brian Mortimer",
title = "The primitive permutation groups of degree less than 1000",
journal = MATPC,
volume = 103,
pages = "213--238",
year = 1988}
@incollection{Dix93,
author = "Dixon, John D.",
title = "Constructing representations of finite groups",
crossref = "DIMACS",
pages = "105--112"}
@article{Dre69,
author = "Andreas [W.~M.] Dress",
title = "A Characterization of Solvable Groups",
journal = MATHZ,
volume = "110",
pages = "213--217",
year = "1969",
}
@Manual{DuC91,
title = "Coxeter Version 1.0",
author = "DuCloux, F.",
organization = "Universit{\accent19e} de Lyon",
address = "France",
year = 1991
}
@Article{Dye90,
author = "Dyer, M.",
title = "Reflection subgroups of {C}oxeter systems",
journal = JALGE,
year = "1990",
volume = 135,
pages = "57--73",
}
@Article{EHR91,
author = "D.F.~Holt and D.B.A.~Epstein and S.~Rees",
title = "The use of {Knuth-Bendix} methods to solve the word
problem in automatic groups",
journal = JSYMC,
year = 1991,
volume = 12,
pages = "397--414"
}
@incollection {Eick97,
author = {Eick, Bettina},
title = {Special presentations for finite soluble groups and computing
(pre-){F}rattini subgroups},
crossref = "DIMACS2",
pages = {101--112},
}
@Article{EGN97,
author = "Bettina Eick and Franz G{\accent127a}hler and Werner Nickel",
title = "{C}omputing {M}aximal {S}ubgroups and {W}yckoff
{P}ositions of {S}pace {G}roups",
journal = "Acta Cryst A",
year = 1997
}
@Book{ECHLPT92,
author = "D.B.A.~Epstein and J.W.~Cannon and D.F.~Holt and
S.~Levy and M.S.~Paterson and W.P.~Thurston",
title = "Word Processing and Group Theory",
publisher = "Jones and Bartlett",
year = 1992
}
@inproceedings{FJNT95,
author = "V[olkmar] Felsch and
D[avid] L. Johnson and
J[oachim] Neub{\accent127u}ser and
S[ergey] V. Tsaranov",
title = "The Structure of Certain {C}oxeter Groups",
crossref = "Groups93Vol1",
pages = "177--190",
}
@inproceedings{FS84,
author = "Volkmar Felsch and
G{\accent127u}nter Sandl{\accent127o}bes",
title = "An Interactive Program for Computing Subgroups",
crossref = "Durham1982",
pages = "137--143",
keywords = "groups;
subgroup lattice, table of marks;
cyclic extensions;
program description",
reviews = "MR 85k:20003 (from the introduction),
Zbl 547.20016 (E. Kommissartschik)",
}
@inproceedings{FelschNeubueser79,
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Todd Coxeter (tc), modified Todd Coxeter (mtc);
algorithm description, survey",
reviews = "MR 84f:20004 (George Havas),
Zbl 489.20003 (G. Butler)",
}
@book{neukirch,
author = "J{\accent127u}rgen Neukirch",
title = "Algebraische {Z}ahlentheorie",
publisher = Springer,
year = 1992}
@inbook{NP95,
author = "G[abriele] Nebe and
W[ilhelm] Plesken",
title = "Finite rational matrix groups of degree 16",
crossref = "NPbook95",
pages = "74--144",
}
@book{NPbook95,
author = "G[abriele] Nebe and
W[ilhelm] Plesken",
title = "Finite rational matrix groups",
series = "AMS Memoirs",
volume = "556",
year = "1995",
publisher = AMS,
notes = "PAGES: 144",
}
@inproceedings{NPP84,
author = "J[oachim] Neub{\accent127u}ser and
H[erbert] Pahlings and
W[ilhelm] Plesken",
title = "{CAS};
Design and use of a system for the handling of
characters of finite groups",
crossref = "Durham1982",
pages = "195--247",
keywords = "ordinary representations;
characters",
reviews = "MR 86i:20004 (D. Hales),
Zbl 546.20001 (G. Butler)",
}
@article{NPW81,
author = "J[oachim] Neub{\accent127u}ser and
W[ilhelm] Plesken and
H[ans] Wondratschek",
title = "An emendatory discursion on defining crystal systems",
journal = "Match",
volume = "10",
pages = "77--96",
year = "1981",
reviews = "Zbl 551.20033 (Author)",
}
@inproceedings{New77,
author = "M[ichael]~F. Newman",
title = "Determination of groups of prime-power order",
crossref = "Canberra75",
pages = "73--84",
keywords = "finitely presented groups, p-groups;; nilpotent quotient;
application",
reviews = "MR 56 # 12115 (Bruce W. King),
Zbl no ref",
}
@article{New90,
author = "M[ichael]~F. Newman",
title = "Proving a group infinite",
journal = "Arch. Math. (Basel)",
volume = 54,
year = 1990,
number = 3,
pages = "209--211"
}
@inproceedings{NO89,
author = "M[ichael]~F. Newman and
E[amonn]~A. O'Brien",
title = "A {CAYLEY} library for the groups of order dividing 128",
crossref = "Singapore87",
pages = "437--442"
}
@article{OBr90,
author = "E[amonn]~A. O'Brien",
title = "The $p$-group generation algorithm",
journal = JSYMC,
volume = "9",
pages = "677--698",
year = "1990",
}
@article{OBr91,
author = "E[amonn]~A. O'Brien",
title = "The groups of order $256$",
journal = JALGE,
volume = "143",
pages = "219--235",
year = "1991",
}
@article{OBr94,
author = "E[amonn]~A. O'Brien",
title = "Isomorphism testing for $p$-groups",
journal = JSYMC,
volume = "17 (1)",
year = "1994",
pages = "133--147",
}
@inproceedings{OBr95,
author = "E[amonn]~A. O'Brien",
title = {Computing automorphism groups of $p$-groups},
booktitle = {Computational Algebra Number and Number Theory},
organization = {(Sydney, 1992)},
year = 1995,
pages = {83--90},
editor = {Wieb Bosma and Alf van der Poorten},
publisher = {Kluwer Academic Publishers, Dordrecht}
}
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author = "M[ichael] F. Newman and E[amonn]~A. O'Brien",
title = "Application of computers to questions like those of {B}urnside, {II}",
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volume = "6",
pages = "593--605",
year = "1996",
}
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author = "Th[omas] Ostermann",
title = "{C}haraktertafeln von {S}ylownormalisatoren sporadischer
einfacher {G}ruppen",
type = "Vorlesungen aus dem Fachbereich Mathematik",
number = "14",
year = "1986",
institution = UEssen,
address = UEssen-A,
}
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author = "Herbert Pahlings",
title = "On the {M\accent127o}bius Function of a Finite Group",
journal = ARCMB1,
volume = "60",
pages = "7--14",
year = "1993",
}
@inproceedings{Par84,
author = "Richard Parker",
title = "{The Computer Calculation of Modular Characters
(the {\sf MeatAxe})}",
crossref = "Durham1982",
pages = "267--274"}
@mastersthesis{Pfe91,
author = "G. Pfeiffer",
title = "{Von Permutationscharakteren und Markentafeln}",
type = "Diplomarbeit",
school = RWTHLDFM,
adress = RWTH-A,
year = "1991",
}
@Article{Pfe94a,
author = "G. Pfeiffer",
title = "Character tables of {W}eyl groups in {\sf GAP}",
journal = BayreuMS,
volume = 47,
pages = "165--222",
year = 1994,
publisher = UBayreu,
address = UBayreu-A,
}
@Article{Pfe94b,
author = "G. Pfeiffer",
title = "Young characters on {Coxeter} basis elements of
{Iwahori}-{Hecke} algebras and a {Murnaghan}-{Nakayama}
formula",
journal = JALGE,
year = 1994,
pages = "525--535",
volume = 168,
}
@inproceedings{Pfe96,
author = "G. Pfeiffer",
title = "Character values of {I}wahori-{H}ecke algebras of type {B}",
crossref = "Luminy94",
}
@article{Pfe97,
author = "G. Pfeiffer",
title = "The {S}ubgroups of ${M}_{24}$, or
{H}ow to {C}ompute the {T}able of {M}arks of a {F}inite {G}roup",
journal = EXPMA,
year = "1997",
volume = "6",
number = "3",
pages = "247--270",
}
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author = "G{\accent127u}nter Pilz",
title = "Near-Rings",
series = "North-Holland Mathematics Studies",
volume = "23",
year = "1983",
publisher = "North-Holland Publishing Company",
}
@article{Ple85,
author = "W[ilhelm] Plesken",
title = "Finite Unimodular Groups of Prime Degree and Circulants",
journal = JALGE,
volume = "97",
pages = "286--312",
year = "1985",
}
@unpublished{Ple90,
author = "W[ilhelm] Plesken",
title = "Additive Decompositions of Positive Integral Quadratic
Forms",
note = "The paper is available at
Lehrstuhl B f{\accent127u}r Mathematik,
Rheinisch Westf{\accent127a}lische Technische
Hoch\-schule Aachen,
may be it will be published in the near future",
year = "1990",
}
@inbook{PN95,
author = "W[ilhelm] Plesken and
G[abriele] Nebe",
title = "Finite rational matrix groups",
crossref = "NPbook95",
pages = "1--73",
}
@article{PP77,
author = "Wilhelm Plesken and
Michael Pohst",
title = "On maximal finite irreducible Subgroups of {GL(n,Z)}.
{I}. The five and seven dimensional cases,
{II}. The six dimensional case",
journal = MATHC3,
volume = "31",
pages = "536--576",
year = "1977",
reviews = "MR 56 # 3137a, 3137b (Wolfgang Knapp),
Zbl 359.20006, 359.20007 (authors)",
}
@article{PP80,
author = "Wilhelm Plesken and
Michael Pohst",
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 = MATHC3,
volume = "34",
pages = "245--301",
year = "1980",
reviews = "MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang Knapp),
Zbl 431.20039, 431.20040, 431.20041 (authors)",
}
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author = "M[ichael] Pohst",
title = "A modification of the {LLL} reduction algorithm",
journal = JSYMC,
volume = "4",
pages = "123--127",
year = "1987",
}
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author = "A. Ram",
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journal = INVEM,
year = 1991,
volume = 106,
pages = "461--488"
}
@manual{Ram99a,
author = "Colin Ramsay",
title = "{\tt ACE} for {Amateurs}",
organization = "Centre for Discrete Mathematics and Computing,
The University of Queensland",
year = 1999,
note = "Draft",
}
@manual{Ram99,
author = "C.~Ramsay",
title = "{ACE} User Manual",
year = "1999",
organisation = "Centre for Discrete Mathematics and Computing",
address = "Department of Computer Science \& Electrical Engineering
and Department of Mathematics,
The University of Queensland, QLD 4072, Australia",
note = "Draft",
}
@manual{Rin93,
author = "Michael Ringe",
title = "The {C} {M}eat{A}xe,
Release 1.5",
year = "1993",
organization = RWTHLDfM,
address = RWTH-A,
}
@manual{Rin98,
author = "Michael Ringe",
title = "The {C} {M}eat{A}xe,
Release 2.3",
year = "1998",
organization = RWTHLDfM,
address = RWTH-A,
}
@article{Rob88,
author = "E[dmund]~F. Robertson",
title = "{T}ietze transformations with weighted substring search",
journal = JSYMC,
volume = "6",
pages = "59--64",
year = "1988",
keywords = "finitely presented groups;
simplification;
Tietze transformations",
}
@article{Roy87,
author = "Gordon F. Royle",
title = "The transitive groups of degree twelve",
journal = JSYMC,
volumn = "4",
year = "1987",
pages = "255--268"
}
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author = "L.~L.~Scott",
title = "Modular Permutation Representations",
journal = TRAAM,
volume = "175",
pages = "101--121",
year = "1973",
}
@article{Sch90,
author = "Gerhard J.~A.~Schneider",
title = "{D}ixon's Character Table Algorithm Revisited",
journal = JSYMC,
volume = "9",
pages = "601--606",
year = "1990",
}
@article{Seress98,
author = "{\'A}kos Seress",
title = "Nearly linear time algorithms for permutation groups:
an interplay between theory and practice",
journal = ACTAM3,
volume = 52,
number = "1--3",
year = 1998,
pages = "183--207"}
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author = "G. C. Shephard and J. A. Todd",
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}
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author = "Mark W. Short",
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volume = "1519",
year = "1992",
publisher = Springer,
}
@inproceedings{Sim70,
author = "Charles~C. Sims",
title = "Computational methods in the study of permutation groups",
crossref = "Oxford67",
pages = "169--183",
keywords = "permutation groups;
primitive groups, classification of, stabilizer chain;
Schreier Sims",
reviews = "MR 41 # 1856 (H. Kimura),
Zbl 215, 100 (J. McKay),
CR 11 # 19,829 (G.~N. Raney)",
notes = "RUSSIAN translation in:
Computations in algebra and number theory (Russian), edited
by B.~B. Venkov and D.~K. Faddeev, pp. 129--147,
Matematika, Novoie v Zarubeznoi Naukie, vol. 2,
Izdat. MIR, Moscow, 1976",
}
@article{Sims90b,
author = "Charles~C. Sims",
title = "Computing the order of a solvable permutation group",
journal = JSYMC,
volume = 9,
pages = "699--705",
year = 1990}
@book{Sims94,
Author = "C.~C. Sims",
Title = "Computation with Finitely Presented Groups",
Publisher = {Cambridge University Press},
Year = {1994}
}
@inproceedings{Sims97,
author = "Charles~C. Sims",
title = "Computing with Subgroups of Automorphism Groups
of Finite Groups",
crossref = "ISSAC97",
pages = "40--403"}
@manual{Sog89,
title = "{SOGOS} - A Program System for Handling Subgroups of
Finite Soluble Groups, version 5.0, User's reference manual",
year = "1989",
organization = RWTHLDfM,
address = RWTH-A,
keywords = "groups, finitely presented groups, polycyclic groups,
nilpotent groups, p-groups;
SOGOS, pc-presentation, ag-presentation, collection,
elements, classes of conjugate elements,
centralizer, normalizer, normal closure, intersection,
sylow subgroups, derived subgroup, series,
central series, p-central series, subgroup lattice,
table of marks, complements, factor groups;
nilpotent quotient (nq);
manual",
}
@inproceedings{Soi91,
author = "L[eonard] H. Soicher",
title = "{GRAPE}: a system for computing with graphs and groups",
crossref = "DIMACS",
pages = "287-291",
}
@article{Sou94,
author = "Bernd Souvignier",
title = "Irreducible finite integral matrix groups of degree 8
and 10",
journal = MATHC3,
volume = "63",
pages = "335--350",
year = "1994",
}
@manual{Spa89,
title = "{SPAS} - {S}ubgroup {P}resentation {A}lgorithms {S}ystem,
version 2.5, User's reference manual",
key = "SPAS",
year = "1989",
organization = RWTHLDfM,
address = RWTH-A,
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 = Birkhaeus,
year = 1981
}
@Article{Ste89,
author = "Stembridge, J. R.",
title = "On the eigenvalues of representations of reflection groups
and wreath products",
journal = "Pacific J. Math.",
year = 1989,
volume = 140,
pages = "353--396"
}
@article{Tay87,
author = "D.~E.~Taylor",
title = "Pairs of Generators for Matrix Groups. {I}",
journal = "The Cayley Bulletin",
volume = "3",
year = "1987",
}
@mastersthesis{Theissen93,
author = "Heiko Thei{\ss}en",
title = "{Methoden zur Bestimmung der rationalen
Konjugiertheit in endlichen Gruppen}",
type = "Diplomarbeit",
school = RWTHLDFM,
adress = RWTH-A,
year = 1993}
@phdthesis{Theissen97,
author = "Heiko Thei{\ss}en",
title = "{Eine Methode zur Normalisatorberechnung in
Per\-mu\-ta\-tions\-gruppen mit An\-wen\-dun\-gen in der
Kon\-struk\-tion primitiver Gruppen}",
type = "Dissertation",
school = RWTH,
address = RWTH-A,
year = "1997"}
@mastersthesis{Thi87,
author = "Peter Thiemann",
title = "{SOGOS} {III} - {C}haraktere und {E}ffizienzuntersuchung",
type = "Diplom\-arbeit",
year = "1987",
school = RWTHLDfM,
address = RWTH-A,
}
@inproceedings{VL84,
author = "M[ichael] R. Vaughan-Lee",
title = "An Aspect of the {Nilpotent Quotient Algorithm}",
crossref = "Durham1982",
pages = "75--84",
}
@article{VL90a,
author = "M[ichael] R. Vaughan-Lee",
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volume = "9",
pages = "725--733",
year = "1990",
publisher = AcaPress,
}
@book{VL90b,
author = "M[ichael] R. Vaughan-Lee",
title = "The restricted {Burnside} problem",
series = LMSMon,
volume = "5",
year = "1990",
publisher = OxUnPress,
}
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author = "Robert W. van der Waall",
title = "On symplectic primitive modules and monomial groups",
journal = "Indagationes Math.",
volume = "38",
pages = "362--375",
year = "1976",
}
@article{Wagon90,
author = "Wagon, Stan",
title = "Editor's corner: the {E}uclidean algorithm strikes again",
journal = "Amer. Math. Monthly",
volume = 97,
year = 1990,
number = 2,
pages = {125--129},
}
@techreport{wielandt69,
author = "Helmut Wielandt",
title = "Permutation groups through invariant relations and
invariant functions",
type = "Lecture Notes",
institution = "Department of Mathematics, The Ohio State University",
year = 1969}
@misc{AGR,
author = "Robert.~A.~Wilson",
title = "{ATLAS of Finite Group Representations}",
key = "ATLAS",
howpublished = "\URL{http://www.mat.bham.ac.uk/atlas/}",
}
@article{BSW01,
author = "John N.~Bray and
Ibrahim A.~I.~Suleiman and
Peter G.~Walsh and
Robert A.~Wilson",
title = "Generating maximal subgroups of sporadic simple groups",
journal = COMMA2,
volume = "29",
number = "3",
pages = "1325--1337",
year = "2001",
}
@article{Wil96,
author = "R[obert] A. Wilson",
title = "Standard generators for sporadic simple groups",
journal = JALGE,
volume = "184",
pages = "505--515",
year = "1996",
}
@InCollection{Won95,
author = "Hans Wondratschek",
title = "Introduction to space-group symmetry",
editor = "Theo Hahn",
crossref = "Hah95",
pages = "711--735"
}
@manual{Wur93,
author = "Martin Wursthorn",
title = "{\sc SISYPHOS} Computing in modular group algebras,
Version 0.5",
year = "1993",
organization = "Math. Inst. B, 3. Lehrstuhl",
address = "Universit{\accent127a}t Stuttgart",
}
@article {Zagier90,
author = "Zagier, D.",
title = "A one-sentence proof that every prime $p\equiv 1\pmod 4$ is a
sum of two squares",
journal = "Amer. Math. Monthly",
volume = 97,
year = 1990,
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@mastersthesis{Zum89,
author = "Matthias Zumbroich",
title = "{Grundlagen} einer {Arithmetik} in
{Kreisteilungsk{\accent127o}rpern} und ihre
{Implementation} in {CAS}",
type = "Diplomarbeit",
year = "1989",
school = RWTHLDfM,
address = RWTH-A,
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%P Proceedings . . . . . . . . . . . . . . . . . references for proceedings
%%
%% The following references are proceedings that are *crossreferenced* from
%% the references above. They *must* come at the end of this file. They
%% are ordered with respect to the year of their publication.
%%
@proceedings{Oxford67,
title = "Computational Problems in Abstract Algebra, Oxford, 1967",
booktitle = "Computational Problems in Abstract Algebra,
Proc. Conf. Oxford, 1967",
editor = "John Leech",
year = "1970",
publisher = Pergamon,
reviews = "MR 40#5374,
Zbl 186.299",
}
@proceedings{Canberra73,
title = "Second International Conference on the Theory of Groups,
Canberra, 1973",
booktitle = "Proceedings of the Second International Conference on the
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series = LNM,
volume = "372",
editor = "M[ichael]~F. Newman",
year = "1974",
publisher = Springer,
reviews = "MR 49#9054,
Zbl 282.00012",
}
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title = "Group theory, Canberra, 1975",
booktitle = "Group theory,
Proc. Miniconf., Austral. Nat. Univ., Canberra, 1975",
series = LNM,
volume = "573",
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reviews = "MR 55#3040,
Zbl 342.00008",
}
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title = "Burnside groups, Bielefeld, 1977",
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series = LNM,
volume = "806",
editor = "J[ens] L. Mennicke",
year = "1980",
publisher = Springer,
reviews = "MR 81j:20002,
Zbl 424.00008"
}
@proceedings{EUROSAM79,
title = "EUROSAM 79, Marseille, 1979",
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EUROSAM 79, An International Symposium on Symbolic
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series = "Lecture Notes in Computer Science, 72",
editor = "Edward W. Ng",
year = 1979,
publisher = Springer}
@proceedings{Durham1982,
title = "Computational Group Theory,
Proceedings LMS Symposium on Computational Group Theory,
Durham 1982",
booktitle = "Computational Group Theory,
Proceedings LMS Symposium on Computational Group Theory,
Durham 1982",
editor = "Michael D. Atkinson",
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}
@proceedings{GrpsStAndrews81,
title = "Groups-St.Andrews 1981,
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booktitle = "Groups-St.Andrews 1981,
Proceedings of a conference,
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series = LMSLec,
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editor = "Colin M. Campbell and
Edmund F. Robertson",
year = "1982",
publisher = CamUPress,
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@proceedings{Singapore87,
title = "Group Theory,
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title = "Representation theory of finite groups and
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booktitle = "Representation theory of finite groups and
finite-dimensional algebras",
editor = "G.~O. Michler and
C.~R. Ringel",
series = "Progress in Mathematics",
volume = "95",
year = "1991",
publisher = Birkhaeus,
}
@proceedings{ISSAC91,
title = "Proceedings of the 1991 International Symposium
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Bonn 1991",
booktitle = "Proceedings of the International Symposium
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Bonn 1991",
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publisher = ACM,
}
@proceedings{ISSAC97,
title = "Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation",
booktitle = "Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation",
year = 1997,
editor = "K{\accent127u}chlin, Wolfgang",
publisher = ACM,
organization = "The Association for Computing Machinery",
key = "ACM"
}
@proceedings{ISSAC98,
title = "Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation",
booktitle = "Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation",
year = 1998,
editor = "Oliver Gloor",
publisher = ACM,
organization = "The Association for Computing Machinery",
key = "ACM"
}
@proceedings{DIMACS,
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series = "DIMACS Series in Discrete Mathematics and
Theoretical Computer Science",
volume = "11",
year = "1993",
publisher = AMS
}
@proceedings{DIMACS2,
title = "Groups and computation. {II}",
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publisher = AMS,
year = 1997
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@proceedings{DIMACS3,
title = "Groups and computation. {III}",
BOOKTITLE = "Proceedings of the 3rd International Conference held at The
Ohio State University, Columbus, OH, June 15--19, 1999",
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series = "Ohio State University Mathematical Research Institute
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volume = 8,
PUBLISHER = Gruyter,
YEAR = 2001
}
@proceedings {DIMACS94,
title = {Geometric and computational perspectives on infinite
groups},
booktitle = {Proceedings of the Joint DIMACS/Geometry Center
Workshop held at the University of Minnesota,
Minneapolis, Minnesota, January 3--14, 1994 and
Rutgers University, New Brunswick, New Jersey, March
17--20, 1994},
editor = {Baumslag, Gilbert and Epstein, David and Gilman,
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publisher = AMS,
address = AMSADR,
year = 1996
}
@proceedings{Groups93Vol1,
title = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 1",
booktitle = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 1",
series = LMSLec,
volume = "211",
editor = "C[olin] M. Campbell and
T[haddeus] C. Hurley and
E[dmund] F. Robertson and
S[ean] J. Tobin and
J[ames] J. Ward",
year = "1995",
publisher = CamUPress,
notes = "PAGES: xii + 304",
}
@proceedings{Groups93Vol2,
title = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 2",
booktitle = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 2",
series = LMSLec,
volume = "212",
editor = "C[olin] M. Campbell and
T[haddeus] C. Hurley and
E[dmund] F. Robertson and
S[ean] J. Tobin and
J[ames] J. Ward",
year = "1995",
publisher = CamUPress,
notes = "PAGES: xii + 305",
}
@Proceedings{Luminy94,
title = "Finite Reductive Groups, Related Structures and
Representations",
booktitle = "Finite Reductive Groups, Related Structures and
Representations",
year = 1996,
editor = "Marc Cabanes",
volume = 141,
series = "Progress in Mathematics",
publisher = Birkhaeus
}