Locally finite groups containing a -element with Chernikov centralizer

被引：0

作者：

Khukhro, E. I. ^{[1
,2
]}

Makarenko, N. Yu. ^{[1
]}

Shumyatsky, P. ^{[3
]}

机构：

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

[2] Lincoln Univ, Lincoln, England

[3] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil

来源：

MONATSHEFTE FUR MATHEMATIK | 2016年 / 179卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Locally finite group; Centralizer; Chernikov group; Soluble group; Derived length; Automorphism; FIXED-POINTS; PRIME-ORDER; SOLUBLE GROUPS; AUTOMORPHISM;

D O I：

10.1007/s00605-014-0701-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that a locally finite group has a 2-element with Chernikov centralizer. It is proved that if the involution in has nilpotent centralizer, then has a soluble subgroup of finite index.

引用

页码：91 / 97

页数：7

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