Exponent of a finite group with a fixed-point-free four-group of automorphisms

被引：0
|
作者：
Pavel Shumyatsky
机构：
[1] University of Brasilia,Department of Mathematics
来源：
Israel Journal of Mathematics | 2013年 / 194卷
关键词：
Finite Group; Normal Closure; Nilpotency Class; Invariant Subgroup; Involutory Automorphism;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let e be a positive integer and G a finite group acted on by the four-group V in such a manner that CG(V) = 1. Suppose that V contains an element v such that the centralizer CG(v) has exponent e. Then the exponent of G″, the second derived group of G, is bounded in terms of e only.
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页码：895 / 906
页数：11
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