This article is cited in 11 papers

Groups saturated by finite simple groups

D. V. Lytkina

Novosibirsk State University, Novosibirsk, Russia

Abstract: We describe periodic groups saturated by groups in the set
$$ \mathfrak C=\{ L_2(r),\ r\ge4;\quad L_3(2^m),\ m\ge1;\quad U_3(2^m),\ m\ge2;\quad Sz(2^m),\ m\ge3\}. $$
As a corollary we give a description of periodic groups $G$ saturated by finite simple groups and satisfying one of the following conditions: (a) centralizers of involutions in $G$ are 2-closed; (b) $G$ contains a strongly embedded 2-local subgroup.

Keywords: group saturated by finite simple groups, periodic group.

UDC: 512.5

Received: 12.01.2009

 English version: Algebra and Logic, 2009, 48:5, 357–370

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