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@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 --> -------------------- ¤ Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.0.45Bemerkung: (vorverarbeitet) ¤*Bot Zugriff |
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