Commutators in residually finite groups

被引：7
|
作者：
Shumyatsky, P [1 ]
机构：
[1] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil
来源：
MONATSHEFTE FUR MATHEMATIK | 2002年 / 137卷 / 02期
关键词：
commutators; residually finite groups;
D O I：
10.1007/s006050200049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The following result is proved. Let G be a residually finite group satisfying the identity ([x(1), x(2)][x(3), x(4)])(n) = 1 for a positive integer n that is not divisible by p(2)q(2) for any distinct primes p and q. Then G' is locally finite.
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页码：157 / 165
页数：9
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