Automorphisms fixing elements of prime order in finite groups

被引：9

作者：

Isaacs, IM

机构：

[1] Mathematics Department, University of Wisconsin, Madison, WI 53706

来源：

ARCHIV DER MATHEMATIK | 1997年 / 68卷 / 05期

关键词：

20D45;

D O I：

10.1007/s000130050068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let sigma be an automorphism of a finite group G and suppose that sigma fixes every element of G that has prime order or order 4. The main result of this paper shows that the structure of the subgroup H = [G, sigma] is severely limited in terms of the order n of sigma. In particular, H has exponent dividing n and it is nilpotent of class bounded in terms of n.

引用

页码：359 / 366

页数：8