Calculs en théorie des groupes et introduction au langage GAP (Groups, Algorithms and Programming)
Journées mathématiques X-UPS, Groupes finis (2000), pp. 81-109.
Publié le :
DOI : 10.5802/xups.2000-03

Jean Michel 1

1 Équipe des groupes finis, Institut de Mathématiques, UMR CNRS 7586, 175, rue du Chevaleret 75013 Paris
@incollection{XUPS_2000____81_0,
     author = {Jean Michel},
     title = {Calculs en th\'eorie des groupes et introduction au langage {GAP} {(Groups,~Algorithms} and {Programming)}},
     booktitle = {Groupes finis},
     series = {Journ\'ees math\'ematiques X-UPS},
     pages = {81--109},
     publisher = {Les \'Editions de l{\textquoteright}\'Ecole polytechnique},
     year = {2000},
     doi = {10.5802/xups.2000-03},
     language = {fr},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/xups.2000-03/}
}
TY  - JOUR
AU  - Jean Michel
TI  - Calculs en théorie des groupes et introduction au langage GAP (Groups, Algorithms and Programming)
JO  - Journées mathématiques X-UPS
PY  - 2000
SP  - 81
EP  - 109
PB  - Les Éditions de l’École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/xups.2000-03/
DO  - 10.5802/xups.2000-03
LA  - fr
ID  - XUPS_2000____81_0
ER  - 
%0 Journal Article
%A Jean Michel
%T Calculs en théorie des groupes et introduction au langage GAP (Groups, Algorithms and Programming)
%J Journées mathématiques X-UPS
%D 2000
%P 81-109
%I Les Éditions de l’École polytechnique
%U https://proceedings.centre-mersenne.org/articles/10.5802/xups.2000-03/
%R 10.5802/xups.2000-03
%G fr
%F XUPS_2000____81_0
Jean Michel. Calculs en théorie des groupes et introduction au langage GAP (Groups, Algorithms and Programming). Journées mathématiques X-UPS, Groupes finis (2000), pp. 81-109. doi : 10.5802/xups.2000-03. https://proceedings.centre-mersenne.org/articles/10.5802/xups.2000-03/

[Asc84] M. Aschbacher On the maximal subgroups of the finite classical groups, Invent. Math., Volume 76 (1984) no. 3, pp. 469-514 | DOI | MR | Zbl

[BBR93] László Babai; Robert Beals; Daniel Rockmore Deciding finiteness of matrix groups in deterministic polynomial time, ISSAC ’93. Proceedings of the 1993 international symposium on Symbolic and algebraic computation (Kiev, Ukraine, July 1993), ACM Press, Baltimore, MD, 1993, pp. 117-126 | DOI | Zbl

[CLG97] Frank Celler; C. R. Leedham-Green A non-constructive recognition algorithm for the special linear and other classical groups, Groups and computation, II (New Brunswick, NJ, 1995) (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.), Volume 28, American Mathematical Society, Providence, RI, 1997, pp. 61-67 | DOI | MR | Zbl

[Dix67] John D. Dixon High speed computation of group characters, Numer. Math., Volume 10 (1967), pp. 446-450 | DOI | MR | Zbl

[Joh97] D. L. Johnson Presentations of groups, London Math. Society Student Texts, 15, Cambridge University Press, Cambridge, 1997 | DOI | Numdam

[Mih58] K. A. Mihaĭlova The occurrence problem for direct products of groups, Dokl. Akad. Nauk SSSR, Volume 119 (1958), pp. 1103-1105 | MR

[Nor80] Simon Norton The construction of J 4 , The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979) (Proc. Sympos. Pure Math.), Volume 37, American Mathematical Society, Providence, RI, 1980, pp. 271-277 | MR | Zbl

[Sch90] Gerhard J. A. Schneider Dixon’s character table algorithm revisited, J. Symbolic Comput., Volume 9 (1990) no. 5-6, pp. 601-606 | DOI | MR | Zbl

[Ser97] Ákos Seress An introduction to computational group theory, Notices Amer. Math. Soc., Volume 44 (1997) no. 6, pp. 671-679 | MR | Zbl

[Sim70] Charles C. Sims Computational methods in the study of permutation groups, Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967), Pergamon, Oxford-New York-Toronto, Ont., 1970, pp. 169-183 | Zbl

[Sim80] Charles C. Sims How to construct a Baby Monster, Finite simple groups II, Proc. Lond. Math. Soc. Res. Symp. (Univ. Durham 1978), Academic Press, 1980, pp. 339-345 | Zbl

Cité par Sources :