La classification des groupes finis simples : bref aperçu et quelques conséquences internes

Puig, Lluis

Séminaire Bourbaki : volume 1981/82, exposés 579-596, Astérisque no. 92-93 (1982), Talk no. 584, p. 101-128

MR 689528 | Zbl 0496.20009 | 1 citation in Numdam

@incollection{SB_1981-1982__24__101_0,
     author = {Puig, Lluis},
     title = {La classification des groupes finis simples : bref aper\c cu et quelques cons\'equences internes},
     booktitle = {S\'eminaire Bourbaki : volume 1981/82, expos\'es 579-596},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {92-93},
     year = {1982},
     note = {talk:584},
     pages = {101-128},
     zbl = {0496.20009},
     mrnumber = {689528},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1981-1982__24__101_0}
}

Puig, Lluis. La classification des groupes finis simples : bref aperçu et quelques conséquences internes, in Séminaire Bourbaki : volume 1981/82, exposés 579-596, Astérisque, no. 92-93 (1982), Talk no. 584, pp. 101-128. http://www.numdam.org/item/SB_1981-1982__24__101_0/

References

[1] J. Alperin, R. Brauer et Finite simple groups of 2-rank two, Scripta D.GORENSTEIN Math.,29(1973) 191-214. | MR 401902 | Zbl 0274.20021

[2] M. Aschbacher Finite groups generated by odd transpositions, I-IV, Math. Z.,127(1972) 45-56.; J.Algebra,26(1973) 451- -459 ; 460-478; 479-491. | MR 310058

[3] M. Aschbacher On finite groups of component type, Illinois J.Math., 19(1975) 87-115. | MR 376843 | Zbl 0299.20013

[4] M. Aschbacher Standard subgroups of alternating type centralized by a 4-group (à paraître)

[5] M. Aschbacher Finite groups in which the generalized Fitting group of the centralizer of some involution is symplectic but not extraspecial, Comm.Algebra,4(1976) 595-616. | MR 407144 | Zbl 0345.20024

[6] M. Aschbacher A characterization of Chevalley groups over finite fields of odd order, Ann.of Math.,106(1977) 353-398; 399-468; correction,111(1980) 411-414. | Zbl 0429.20020

[7] M. Aschbacher The uniqueness case for finite groups (à paraître). | Zbl 0518.20009

[8] M. Aschbacher et G. Seitz On finite groups with a standard component of known type, Osaka J.Math.,13(1976) 439-482;II (à paraître) | MR 435200 | Zbl 0374.20015

[9] H.Bender Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festlässt, J.Algebra, 17(1971) 527-554. | MR 288172 | Zbl 0237.20014

[10] A. Borel et J. Tits Eléments unipotents et sous-groupes paraboliques des groupes réductifs,I Invent.Math.,12(1971) 95-104. | MR 294349 | Zbl 0238.20055

[11] E. Bombieri Thompson's probleme (O2 = 3), Invent.Math.,58(1980) 77-100 | MR 322203 | Zbl 0442.20016

[12] R. Brauer "On the structure of groups of finite order", Proc. Internat.Congr.Math.Amsterdam 1954, I, 209-217 | MR 95203 | Zbl 0080.02101

[13] M. Broue p-Composants d'un groupe fini et B-conjeture de Thompson, preprint 1977

[14] N. Burgoyne Finite groups with Chevalley-type components, Pacific J.Math.,72(1977) 341-350. | MR 457550 | Zbl 0418.20010

[15] C. Chevalley Sur certains groupes simples, Tôhoku Math.J.,7(1955) 14-66. | MR 73602 | Zbl 0066.01503

[16] W. Feit On a class of doubly transitive permutation groups, Illinois J.Math.,4(1960) 170-186. | MR 113953 | Zbl 0098.25202

[17] W. Feit et J. Thompson Solvability of groups of odd order, Pacific J.Math., 13(1963) 775-1029. | MR 166261 | Zbl 0124.26402

[18] B. Fischer Groups generated by 3-transpositions, Invent.Math., 13(1971) 232-246; University of Warwick, preprint. | MR 294487 | Zbl 0232.20040

[19] P. Fong et G. Seitz Groups with (B,N)-pair of rank 1,I,II, Invent. Math.,21(1973) 1-57; 24(1974) 191-237. | MR 354858 | Zbl 0295.20048

[20] G. Frobenius Uber auflösbare Gruppen, V, S.-B.Preuss.Akad. Berlin (1901) 1324-1329. | JFM 32.0138.01

[21] R. Gilman et R. Griess A characterization of finite groups of Lie type in characteristic 2 (en préparation)

[22] G. Glauberman Central elements in core-free groups, J.Algebra, 4(1966) 403-420. | MR 202822 | Zbl 0145.02802

[23] G. Glauberman On solvable signalizer functors in finite groups, Proc.London Math.Soc.(3),33(1976) 1-27. | MR 417284 | Zbl 0342.20008

[24] D. Goldschmidt Solvable signalizer functors on finite groups, J.Algebra,21(1972) 137-148. | MR 297861 | Zbl 0253.20032

[25] D. Goldschmidt Strongly closed 2-subgroups of finite groups, Ann.of Math.,102(1975) 475-489. | MR 393223 | Zbl 0333.20013

[26] D. Gorenstein On the centralizers of involutions in finite groups, J.Algebra,11(1969) 243-277. | MR 240188 | Zbl 0214.27902

[27] D. Gorenstein et K. Harada Finite groups whose 2-subgroups are generated by most 4 elements, Mem.Amer.Math.Soc. No.147(1974) 1-464. | MR 367048 | Zbl 0353.20008

[28] D. Gorenstein et R. Lyons Nonsolvable finite groups with solvable 2-local subgroups, J.Algebra,38(1976) 453-522. | MR 407128 | Zbl 0402.20012

[29] D. Gorenstein et R. Lyons The local structure of finite groups of characteristic 2 (à paraître) | Zbl 0519.20014

[30] D. Gorenstein et J..Walter Centralizers of involutions in balanced groups, J.Algebra,20(1972) 284-319. | MR 292927 | Zbl 0246.20012

[31] C. Hering, W. Kantor et Finite groups with a split BN-pair of rank 1,I,II, G.SEITZ J.Algebra,20(1972) 435-475; 476-494. | MR 301086 | Zbl 0244.20003

[32] Z. Janko Nonsolvable finite groups all of whose 2-local subgroups are solvable I,J.Algebra 21(1972) 458-517. | MR 357584 | Zbl 0243.20013

[33] G. Mason "Quasithin groups", Finite Simple Groups II, ed. M.Collins, Academic Press, 1980. | MR 604574 | Zbl 0458.20013

[34] P. Macbride Nonsolvable signalizer functors on finite groups, (à paraître) | Zbl 0491.20012

[35] L. Puig Structure locale dans les groupes finis, Bull.Soc. Math.France, Mémoire 47(1976). | Numdam | MR 450410 | Zbl 0355.20024

[36] G. Seitz Chevalley groups as standard subgroups I, Illinois J.Math.,90(1979) 36-57; II,III (à paraître). | MR 516569 | Zbl 0395.20006

[37] E. Shult On a class of doubly transitive groups, Illinois J.Math.,16(1972) 434-455. | MR 296150 | Zbl 0241.20004

[38] F. Smith Finite simple groups all of whose 2-local subgroups are solvable, J.Algebra,34(1975) 481-520. | MR 376847 | Zbl 0325.20009

[39] S. Smith A charectarization of orthogonal groups over GF(2), J.Algebra,62(1980) 39-60. | MR 561116 | Zbl 0426.20013

[40] S. Smith A characterization of finite Chevalley and twisted groups of type E over GF(2), J.Algebra,62(1980) 101-117. | MR 561119 | Zbl 0426.20014

[41] R. Solomon Finite groups of intrinsec 2-components of type A , J.Algebra,33(1975) 498-522. | MR 372034 | Zbl 0313.20007

[42] R. Solomon Standard components of alternating type,I,II, J.Algebra,41(1976) 496-514; 471977) 162-179. | MR 422405 | Zbl 0412.20011

[43] R. Solomon 2-signalizers in finite groups of alternating type, Comm.Algebra,6(1978) 529-549. | MR 466303 | Zbl 0403.20008

[44] R. Solomon On certain 2-local blocks, Proc.London Math.Soc. (à paraître). | Zbl 0471.20010

[45] M. Suzuki On a class of doubly transitive groups, Ann.of Math.,75(1962) 105-145. | MR 136646 | Zbl 0106.24702

[46] J. Thompson Nonsolvable finite groups all of whose local subgroups are solvable, I-VI, Bull.Amer.Math.Soc., 74(1968) 383-437; Pacific J.Math.,33(1970) 431-536; 39(1971) 483-534; 48(1973) 511-592; 50(1974) 215-297; 51(1974) 573-630. | MR 230809

[47] F. Timmesfeld Groups generated by root-involutions, I,II, J.Algebra,33(1975) 75-135; 35(1975) 367-441. | MR 372019 | Zbl 0311.20016

[48] F. Timmesfeld Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extraspecial, Ann.of Math.,107(1978) 297-369. | MR 486255 | Zbl 0405.20016

[49] J. Tits "Buildings of Spherical Type and Finite (B,N)-Pairs" (Lecture Notes 386), Springer-Verlag, Berlin, 1974. | MR 470099 | Zbl 0295.20047

[50] H. Zassenhaus Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen, Abh.Math.Sem.Univ.Hamburg, 11(1936) 17-40. | Zbl 0011.24904