Conjugate biprimitive finite groups saturated with finite simple subgroups

被引：0
作者：
Shlyopkin A.K.
机构：
来源：
Algebra and Logic | 1998年 / 37卷 / 2期
关键词：
Finite Group; Simple Group; Finite Field; Dihedral Group; Chevalley Group;
D O I：
10.1007/BF02671597
中图分类号：
学科分类号：
摘要：
A group G is saturated with groups of the set X if every finite subgroup K ≤ G is embedded in G into a subgroup L isomorphic to some group of X. We study periodic biprimitive finite groups saturated with groups of the sets {L2(pn)}, {Re(32n+1)}, and {Sz(2 2n+1)}. It is proved that such groups are all isomorphic to {L 2(P)}, {Re(Q)}, or {Sz(Q)} over locally finite fields. © 1998 Plenum Publishing Corporation.
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页码：127 / 138
页数：11
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