The finite simple groups and their classification

M. Aschbacher

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 36 (1981) no. 2

Bibliographie

[1] M. Aschbacher, “Groups generated by odd transpositions. I; II–IV”, Math. Z., 127 (1972), 45–56 ; 26 (1973), 451–491 | DOI | MR | Zbl | MR

[2] M. Aschbacher, “Finite groups with a proper 2-generated core”, Trans. AMS, 197 (1974), 87–112 | DOI | MR | Zbl

[3] M. Aschbacher, “$\mathrm{F}$-sets and permutation groups”, J. Alg., 30 (1974), 400–416 | DOI | MR | Zbl

[4] M. Aschbacher, “On finite groups of component type”, Illinois J. Math., 19 (1975), 87–115 | MR | Zbl

[5] M. Aschbacher, “A homomorphism theorem for finite graphs”, Proc. AMS, 54 (1976), 468–470 | DOI | MR | Zbl

[6] M. Aschbacher, “On finite groups in which the generalized Fitting group of the centralizer of some involution is symplectic but not extraspecial”, Comm. Alg., 4 (1976), 595–616 | DOI | MR | Zbl

[7] M. Aschbacher, “On finite groups in which the generalized Fitting group of the centralizer of some involution is extraspecial”, Illinois J. Math., 21 (1977), 347–364 | MR | Zbl

[8] M. Aschbacher, “A characterization of Chevalley groups over fields of odd order”, Ann. Math., 106 (1977), 353–468 | DOI | MR | Zbl

[9] M. Aschbacher, “Thin finite simple groups”, J. Alg., 54 (1978), 50–152 | DOI | MR | Zbl

[10] M. Aschbacher, M. Hall, “Groups generated by a class of elements of order 3”, J. Alg., 24 (1973), 591–612 | DOI | MR | Zbl

[11] H. Bender, “Transitive Gruppen gerader Ordnung, in denen jede Involution genau einer Punkt festlasst”, J. Alg., 17 (1971), 527–554 | DOI | MR | Zbl

[12] R. Carter, Simple Groups of Lie Type, New York Wiley, 1972 | MR

[13] U. Dempwolf, S. Wong, “On finite groups whose centralizer of an involution has normal extraspecial and abelian subgroups. I; II”, J. Alg., 45 (1977), 247–253 ; 52 (1978), 210–217 | DOI | MR | Zbl | DOI | Zbl

[14] B. Fischer, “Finite groups generated by 3-transpositions, I”, Inventiones Math., 13 (1971), 232–246 | DOI | Zbl

[15] P. Fong, G. Seitz, “Groups with a $(B, N)$-pair of rank 2. I; II”, Inventiones Math., 21 (1973), 1–57 ; 24 (1974), 191–239 | DOI | MR | Zbl | DOI | Zbl

[16] G. Glauberman, “Central elements of core-free groups”, J. Alg., 4 (1966) | DOI | MR | Zbl

[17] G. Glauberman, “On solvable signalizer functors in finite groups”, J. London Math. Soc., 33 (1976), 1–27 | DOI | MR | Zbl

[18] D. Goldschmidt, “Solvable signalizer functors in finite groups”, J. Alg., 21 (1972), 137–148 | DOI | MR | Zbl

[19] D. Goldschmidt, “2-signalizer functors on finite groups”, J. Alg., 21 (1972), 321–340 | DOI | MR | Zbl

[20] D. Gorenstein, Finite Groups, Harper and Row, New York, 1968 | MR | Zbl

[21] D. Gorenstein, “On the centralizers of involutions in finite groups”, J. Alg., 11 (1969), 243–277 | DOI | MR | Zbl

[22] D. Gorenstein, “The flatness of signalizer functors on finite groups”, J. Alg., 13 (1969), 509–512 | DOI | MR | Zbl

[23] D. Gorenstein, K. Harada, “Finite groups whose 2-subgroups are generated by at most 4 elements”, Memoirs AMS, 147 (1974), 1–464 | MR

[24] D. Gorenstein, J. Walter, “Balance and generation in finite groups”, J. Alg., 33 (1975), 224–287 | DOI | MR | Zbl

[25] C. Hering, W. Kantor, G. Seitz, “Finite groups with a split $(B, N)$-pair of rank 1”, J. Alg., 20 (1972), 435–475 | DOI | MR | Zbl

[26] Z. Janko, “Nonsolvable finite groups all of whose 2-local subgroups are solvable, I”, J. Alg., 21 (1972), 458–517 | DOI | MR | Zbl

[27] A. Mac Williams, “On 2-groups with no normal abelian subgroups of rank 3 and their occurrence as Sylow 2-subgroups of finite simple groups”, Trans. AMS, 150 (1970), 345–408 | DOI | MR | Zbl

[28] M. Powell, G. Higman, Oxford conference on finite simple groups, Academic Press, London, 1969 | MR

[29] F. Smith, “On a result of M. Aschbacher”, Comm. Alg., 51 (1977), 279–288 | DOI | MR

[30] F. Smith, “On finite groups with large extraspecial 2-subgroups”, J. Alg., 44 (1977), 477–487 | DOI | MR | Zbl

[31] S. Smith, “A characterization of orthogonal groups over $\mathrm{GF}(2)$”, J. Alg.

[32] S. Smith, “A characterization of finite Chevalley and twisted groups of type $E$ over $\mathrm{GF}(2)$”, J. Alg.

[33] S. Smith, “Large extraspecial subgroups of widths 4 and 6”, J. Alg.

[34] B. Stark, “Another look at Thompson's quadratic pairs”, J. Alg., 45 (1977), 334–342 | DOI | MR | Zbl

[35] M. Suzuki, “Finite groups of even' order in which Sylow 2-subgroups are independent”, Ann. Math., 80 (1964), 58–77 | DOI | MR | Zbl

[36] J. Thompson, “Nonsolvable finite groups all of whose local subgroups are solvable. I; II–VI”, Bull. AMS, 74 (1968), 383–437 ; Pacific J. Math., 33 (1970), 451–536 ; 39 (1971), 483–534 ; 48 (1973), 511–592 ; 50 (1974), 215–297 ; 51 (1974), 573–630 | DOI | MR | Zbl | MR | Zbl | MR | Zbl | MR | Zbl | Zbl | Zbl

[37] F. Timmesfeld, “Groups generated by root involutions. I; II”, J. Alg., 33 (1975), 75–134 | DOI | MR | Zbl

[38] F. Timmesfeld, “Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extraspecial”, Ann. Math., 107 (1978), 297–369 | DOI | MR | Zbl

[39] J. Tits, Buildings of spherical type and finite $\mathrm{BN}$-pairs, Springer-Verlag, Berlin, 1974 | MR | Zbl

[40] E. Witt, “Die 5-fach transitiven Gruppen von Mathieu”, Abh. Math. Sem. Univ. Hamburg, 121 (1938), 256–264

[41] R. Foote, “Finite groups with components of 2-rank 1. I; II”, J. Alg., 41 (1976), 16–57 | DOI | MR

[42] P. Hall, “A contribution to the theory of groups of prime power order”, Proc. London Math. Soc., 36 (1933), 29–95 | DOI

[43*] P. J. Cameron, “Finite permutation groups and finite simple groups”, Bull. London Math. Soc., 13:1 (1981), 1–22 | DOI | MR | Zbl

[44*] J. H. Conway, S. P. Norton, “Monstrous moonshine”, Bull. London Math. Soc., 11 (1979), 308–339 | DOI | MR | Zbl

[45*] D. Gorenstein, “The classification of finite simple groups. I: Simple groups and local analysis”, Bull. Amer. Math. Soc., 1:1 (1979), 43–199 | DOI | MR | Zbl