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Subgroups of prime power index in a simple group. (English) Zbl 0515.20011

20D05 Finite simple groups and their classification
20D06 Simple groups: alternating groups and groups of Lie type
20D08 Simple groups: sporadic groups
20D30 Series and lattices of subgroups
Full Text: DOI
[1] \scM. Aschbacher, Parabolics in groups of GF(2)-type, preprint.
[2] Carter, R, Simple groups of Lie type, (1972), Wiley New York · Zbl 0248.20015
[3] Conway, J, Three lectures on exceptional groups, ()
[4] Dickson, L, Linear groups with an exposition of the Galois field theory, (1962), Dover New York
[5] Finkelstein, L, The maximal subgroups of Conway’s group C3 and Mclaughlin’s group, J. algebra, 25, 58-89, (1973) · Zbl 0263.20010
[6] \scD. Gorenstein and R. Lyons, The local structure of finite groups of characteristic 2 type, preprint. · Zbl 0519.20014
[7] Liebler, R; Yellen, J, In search of nonsolvable groups of central type, Pacific J. math., 82, 485-492, (1979) · Zbl 0387.20006
[8] Mitchell, H, Determination of the ordinary and modular ternary linear groups, Trans. amer. math. soc., 12, 207-242, (1911) · JFM 42.0161.01
[9] Seitz, G, Flag-transitive subgroups of Chevalley groups, Ann. of math., 97, 27-56, (1973) · Zbl 0338.20052
[10] Suzuki, M, On a class of doubly transitive subgroups, Ann. of math., 75, 105-145, (1965)
[11] Walter, J, Finite groups with abelian Sylow 2-subgroups of order 8, Invent. math., 2, 332-376, (1967) · Zbl 0153.03603
[12] Ward, H, On Ree’s series of simple groups, Trans. amer. math. soc., 121, 62-89, (1966) · Zbl 0139.24902
[13] Wielandt, H, Finite permutation groups, (1964), Academic Press New York · Zbl 0138.02501
[14] Zsigmondy, K, Sur theorie de potenzrests, Monatsh. math. phys., 3, 265-284, (1892) · JFM 24.0176.02
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