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Bender groups as standard subgroups. (English) Zbl 0387.20011


MSC:

20D05 Finite simple groups and their classification
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References:

[1] Michael Aschbacher, Tightly embedded subgroups of finite groups, J. Algebra 42 (1976), no. 1, 85 – 101. · Zbl 0372.20012 · doi:10.1016/0021-8693(76)90028-4
[2] -, Standard components of alternating type centralized by a 4-group (to appear). · Zbl 1144.20007
[3] Michael Aschbacher and Gray M. Seitz, On groups with a standard component of known type, Osaka J. Math. 13 (1976), no. 3, 439 – 482. · Zbl 0374.20015
[4] S. Assa, Ph.D. Thesis, Ohio State University, 1973.
[5] Helmut Bender, Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festläßt, J. Algebra 17 (1971), 527 – 554 (German). · Zbl 0237.20014 · doi:10.1016/0021-8693(71)90008-1
[6] Ulrich Dempwolff, A characterization of the Rudvalis simple group of order 2\textonesuperior \(^{4}\)\cdot 3³\cdot 5³\cdot 7\cdot 13\cdot 29 by the centralizers of noncentral involutions, J. Algebra 32 (1974), 53 – 88. · Zbl 0287.20010 · doi:10.1016/0021-8693(74)90172-0
[7] Walter Feit and John G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775 – 1029. · Zbl 0124.26402
[8] Larry Finkelstein, Finite groups with a standard component of type Janko-Ree, J. Algebra 36 (1975), no. 3, 416 – 426. · Zbl 0321.20018 · doi:10.1016/0021-8693(75)90142-8
[9] Paul Fong and Gary M. Seitz, Groups with a (\?,\?)-pair of rank 2. I, II, Invent. Math. 21 (1973), 1 – 57; ibid. 24 (1974), 191 – 239. · Zbl 0295.20048 · doi:10.1007/BF01389689
[10] Robert Gilman and Daniel Gorenstein, Finite groups with Sylow 2-subgroups of class two. I, II, Trans. Amer. Math. Soc. 207 (1975), 1 – 101; ibid. 207 (1975), 103 – 126. · Zbl 0312.20008
[11] David M. Goldschmidt, 2-fusion in finite groups, Ann. of Math. (2) 99 (1974), 70 – 117. · Zbl 0276.20011 · doi:10.2307/1971014
[12] Daniel Gorenstein and Koichiro Harada, Finite groups whose 2-subgroups are generated by at most 4 elements, American Mathematical Society, Providence, R.I., 1974. Memoirs of the American Mathematical Society, No. 147. · Zbl 0353.20008
[13] -, A characterization of Janko’s two new simple groups, J. Univ. Tokyo 16 (1970), 331-406. · Zbl 0223.20011
[14] Daniel Gorenstein and John H. Walter, The characterization of finite groups with dihedral Sylow 2-subgroups. I, J. Algebra 2 (1965), 85 – 151. , https://doi.org/10.1016/0021-8693(65)90027-X Daniel Gorenstein and John H. Walter, The characterization of finite groups with dihedral Sylow 2-subgroups. II, J. Algebra 2 (1965), 218 – 270. · Zbl 0192.11902 · doi:10.1016/0021-8693(65)90019-0
[15] Koichiro Harada, On finite groups having self-centralizing 2-subgroups of small order, J. Algebra 33 (1975), 144 – 160. · Zbl 0324.20029 · doi:10.1016/0021-8693(75)90135-0
[16] Christoph Hering, William M. Kantor, and Gary M. Seitz, Finite groups with a split \?\?-pair of rank 1. I, J. Algebra 20 (1972), 435 – 475. · Zbl 0244.20003 · doi:10.1016/0021-8693(72)90068-3
[17] Graham Higman, Suzuki 2-groups, Illinois J. Math. 7 (1963), 79 – 96. · Zbl 0112.02107
[18] Robert Markot, On finite simple groups \? in which every element of \cal\?(\?) is of Bender type, J. Algebra 40 (1976), no. 1, 125 – 202. · Zbl 0328.20017 · doi:10.1016/0021-8693(76)90092-2
[19] M. O’Nan, Some evidence for the existence of a new simple group (to appear). · Zbl 0356.20020
[20] Gary M. Seitz, Flag-transitive subgroups of Chevalley groups, Ann. of Math. (2) 97 (1973), 27 – 56. · Zbl 0338.20052 · doi:10.2307/1970876
[21] F. L. Smith, A general characterization of the Janko simple group \( {J_2}\) (to appear). · Zbl 0322.20008
[22] Michio Suzuki, On a class of doubly transitive groups, Ann. of Math. (2) 75 (1962), 105 – 145. · Zbl 0106.24702 · doi:10.2307/1970423
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