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A characterization of finite Chevalley and twisted groups of type E over GF(2). (English) Zbl 0426.20014


MSC:

20D05 Finite simple groups and their classification
20D06 Simple groups: alternating groups and groups of Lie type
20G40 Linear algebraic groups over finite fields

Citations:

Zbl 0405.20016
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References:

[1] Aschbacher, M., On finite groups in which the generalized Fitting group of the centralizer of some involution is extra-special, Illinois J. Math., 21, 347-364 (1977) · Zbl 0358.20024
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[11] Richen, F., Modular representations of split BN-pairs, Trans. Amer. Math. Soc., 140, 435-460 (1969) · Zbl 0181.03801
[12] Smith, F., On finite groups with large extra-special 2-subgroups, J. Algebra, 44, 477-487 (1977) · Zbl 0425.20014
[13] Smith, F., On transitive permutation groups in which a 2-central involution fixes a unique point, Comm. Alg., 17, 2, 203-218 (1979) · Zbl 0407.20001
[14] Smith, S. D., A characterization of orthogonal groups over GF (2), J. Algebra, 62, 39-60 (1980) · Zbl 0426.20013
[15] Stroth, G., Eine Kennzeichnung der Gruppe \(^2E_6(2^m)\), J. Algebra, 35, 534-547 (1975) · Zbl 0316.20009
[16] Timmesfeld, F. G., A characterization of Chevalley and Steinberg groups over \(F_2\), Geom. Dedic., 1, 269-321 (1973) · Zbl 0262.20015
[17] Timmesfeld, F. G., Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extra-special, Ann. Math., 107, 297-369 (1978) · Zbl 0405.20016
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