On local finiteness of periodic residually finite groups

被引：6

作者：

Kuzucouoglu, M ^{[1
]}

Shumyatsky, P

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

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

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2002年 / 45卷

关键词：

automorphisms; centralizers; periodic groups;

D O I：

10.1017/S0013091501000311

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a periodic residually finite group containing a nilpotent subgroup A such that C-G (A) is finite. We show that if [A, A(g)] is finite for any g is an element of G, then G is locally finite.

引用

页码：717 / 721

页数：5

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