Centralizers of involutory automorphisms of groups of odd order

被引：3

作者：

Shumyatsky, Pavel ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 2007年 / 315卷 / 02期

关键词：

finite groups; automorphisms; centralizers;

D O I：

10.1016/j.jalgebra.2007.02.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following theorem is proved. Let G be a finite group of odd order admitting an involutory automorphisin phi Such that G = [G, phi]. Suppose that C-G (phi) has a nilpotent Subgroup of index n. Then the index [G ' : F(G ')] is bounded by a function depending only on it. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：954 / 962

页数：9

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