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Arad, Zvi; Chillag, David; Herzog, Marcel

Classification of finite groups by a maximal subgroup. (English) Zbl 0468.20014

J. Algebra 71, 235-244 (1981).
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Cited in 7 Documents

MSC:

20D05 Finite simple groups and their classification
20B15 Primitive groups
20D40 Products of subgroups of abstract finite groups
20D30 Series and lattices of subgroups

Keywords:

maximal subgroup; unbalanced group theorem; primitive permutation groups; factorizable groups

Citations:

Zbl 0364.20034
Cite Review PDF
Full Text: DOI

References:

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[21] McKay, J.; Fischer, J., The nonabelian simple groups \(G, ¦G¦ < \(10^6\)—maximal subgroups, Math. Comp., 32, 1293-1302 (1978) · Zbl 0388.20010
[22] Phan, K. W., A characterization of the finite simple group \(L_4(3)\), J. Austral. Math. Soc., 10, 51-76 (1969) · Zbl 0198.04504
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[24] Rose, J., On finite insoluble groups with nilpotent maximal subgroups, J. Algebra, 48, 182-196 (1977) · Zbl 0364.20034
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