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Vasil’eva, A. V.

Centralizer lattices of finite simple groups. (English) Zbl 0411.20016

Sib. Math. J. 18, 188-195 (1977).
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Cited in 1 Document

MSC:

20D30 Series and lattices of subgroups
20D05 Finite simple groups and their classification

Keywords:

centralizer lattices; finite simple groups

Citations:

Zbl 0375.20018
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Full Text: DOI EuDML

References:

[1] R. Schmidt, ?Zentralisatorverbände endlicher Gruppen,? Rend. Semin. Mat. Univ. Padova,44, 97-131 (1970). · Zbl 0243.20039
[2] B. Huppert, Endliche Gruppen I, Springer, Berlin (1967).
[3] M. Suzuki, ?Two characteristic properties of ZT-groups,? Osaka Math. J.,15, No. 1, 143-150 (1963). · Zbl 0122.27502
[4] M. Suzuki, ?On characterization of linear groups I,? Trans. Am. Math. Soc.,92, No. 2, 191-204 (1959). · Zbl 0089.01605
[5] W. Feit, ?The current situation in the theory of finite simple groups,? Actes Congres In. Math. Nice 1970, Gauthier-Villars, Paris (1971), pp. 55-93.
[6] D. Goldschmidt, ?Two-fusion of finite groups,? Ann. Math.,99, No. 1, 70-117 (1974). · Zbl 0276.20011 · doi:10.2307/1971014
[7] V. D. Mazurov, ?Finite groups with unit 2-length for solvable subgroups,? Algebra Logika,11, No. 4, 438-469 (1972).
[8] Z. Janko and J. G. Thompson, ?On finite simple groups whose Sylow 2-subgroups have no normal elementary subgroups of order 8,? Math. Zeit.,113, No. 5, 385-397 (1970). · doi:10.1007/BF01110509
[9] D. Gorenstein and I. Walter, ?Centralizers of involutions in balanced groups,? J. Algebra,20, No. 2, 284-319 (1972). · Zbl 0246.20012 · doi:10.1016/0021-8693(72)90060-9
[10] M. Suzuki, ?Finite groups in which the centralizer of any element of order 2 is 2-closed,? Ann. Math.,82, No. 2, 191-212 (1965). · Zbl 0132.01704 · doi:10.2307/1970569
[11] P. Chabot, ?Groups whose Sylow 2-groups have cyclic commutator groups III,? J. Algebra,29, No. 3, 455-458 (1974). · Zbl 0287.20013 · doi:10.1016/0021-8693(74)90080-5
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