Conjugate biprimitive finite groups saturated with finite simple subgroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1998 English Publisher:Springer Science and Business Media LLCJournal:Algebra and Logic, volume 37, pages 127-138 (issn: 0002-5232, eissn: 1573-8302,

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Authors: A. K. Shlyopkin;

doi: 10.1007/bf02671597

Conjugate biprimitive finite groups saturated with finite simple subgroups

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Abstract

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(22n+1)}. It is proved thai such groups are all isomorphic to {L2(P)}, {Re(Q)}, or {Sr(Q)} over locally finite fields.

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