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Aschbacher, Michael

Finite groups of rank 3.I. (English) Zbl 0459.20005

Invent. Math. 63, 357-402 (1981).
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Cited in 4 Reviews
Cited in 3 Documents

MSC:

20D05 Finite simple groups and their classification

Keywords:

maximal p-rank of 2-local subgroups; finite simple groups of characteristic 2-type; quasi thin groups

Citations:

Zbl 0418.20008
Cite Review PDF
Full Text: DOI EuDML

References:

[1] Aschbacher, M.: A factorization theorem for 2-constrained groups, to appear in Proc. London Math. Soc. · Zbl 0486.20012
[2] Aschbacher, M.: Some results on pushing up in finite groups, to appear in Math. Zeit. · Zbl 0453.20009
[3] Aschbacher, M.: The uniqueness case for finite groups, preprint · Zbl 0518.20009
[4] Aschbacher, M., Gorenstein, D., Lyons, R.: The embedding of 2-locals in finite groups of characteristic 2-type, to appear in Ann. Math. · Zbl 0476.20014
[5] Aschbacher, M., Seitz, G.: Involutions in Chevalley groups over fields of even order. Nagoya Math. J.63, 1-91 (1976) · Zbl 0359.20014
[6] Bloom, D.: The subgroups ofPSL 3(q), for oddq. Trans. Amer. Math. Soc.127, 150-178 (1967) · Zbl 0153.03702
[7] Curtis, C.: Central extensions of groups of Lie type. J. Reine Ang. Math.220, 174-185 (1965) · Zbl 0137.25701 · doi:10.1515/crll.1965.220.174
[8] Dickson, L.: Linear Groups. New York: Dover 1958 · Zbl 0082.24901
[9] Finkelstein, L., Frohardt, D.: A 3-local characterization ofL 7(2). Trans. AMS250, 181-194 (1979) · Zbl 0408.20005
[10] Finkelstein, L., Frohardt, D.: Standard 2-components of typeS p(6.2), preprint · Zbl 0525.20006
[11] Finkelstein, L., Frohardt, D.: in preparation
[12] Fischer, B.: Finite groups generated by 3-transpositions. Invent. Math.13, 232-246 (1971) · Zbl 0232.20040 · doi:10.1007/BF01404633
[13] Foote, R.: Component type theorems for finite groups in characteristic 2, preprint · Zbl 0469.20010
[14] Gorenstein, D., Lyons, R.: Odd standard form in finite groups of characteristic 2-type, preprint · Zbl 0458.20014
[15] McLaughlin, J.: Some subgroups ofSL n(F2). Illinois J. Math.13, 108-115 (1969) · Zbl 0179.04901
[16] Mitchell, H.: The subgroups of the quaternary abelian linear group. Trans. AMS15, 379-396 (1914) · JFM 45.0252.03 · doi:10.1090/S0002-9947-1914-1500986-9
[17] Phan, K.: On groups generated by special unitary groups. I. J. Australian Math. Soc.23, 67-77 (1977) · Zbl 0369.20026 · doi:10.1017/S1446788700017353
[18] Seitz, G.: Generation of finite groups of Lie type, preprint · JFM 15.0166.03
[19] Solomon, R.: On certain 2-local blocks, preprint · Zbl 0471.20010
[20] Thompson, J.: Nonsolvable finite groups all of whose local subgroups are solvable, I. Bull. AMS74, 383-437 (1968) · Zbl 0159.30804 · doi:10.1090/S0002-9904-1968-11953-6
[21] Aschbacher, M., Seitz, G.: On groups with a standard component of known type. Osaka J. Math.13, 439-482 (1976) · Zbl 0374.20015
[22] Jones, W., Parshall, B.: On the 1-cohomology of finite groups of Lie type. Proceedings of the Conference on finite groups. Academic Press, New York, 1976 · Zbl 0345.20046
[23] Bender, H.: Über den größtenp’-Normelteiler inp-anfloßbaren Gruppen. Arch. Math.18, 15-16 (1967) · Zbl 0144.01602 · doi:10.1007/BF01899467
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