On locally finite groups with a small centralizer of a four-subgroup

被引：0
|
作者：
Emanuela Romano
Pavel Shumyatsky
机构：
[1] Università di Salerno,Dipartimento di Matematica e Informatica
[2] University of Brasilia,Department of Mathematics
来源：
Archiv der Mathematik | 2011年 / 97卷
关键词：
20F50; 20E25; Locally finite groups; Centralizers;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main result of the paper is the following theorem. Let G be a locally finite group having a four-subgroup V such that CG(V) is finite. Suppose that V contains two involutions v1 and v2 such that the centralizers CG(v1) and CG(v2) have finite exponent. Then G is almost locally soluble and [G, V]′ has finite exponent. Since [G, V] has finite index in G, the result gives a fairly detailed information about the structure of G.
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页码：1 / 10
页数：9
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