Almost fixed-point-free automorphisms of soluble groups

被引:7
作者
Wehrfritz, B. A. F. [1 ]
机构
[1] Queen Mary Univ London, London E1 4NS, England
关键词
D O I
10.1016/j.jpaa.2010.07.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Suppose G is either a soluble (torsion-free)-by-finite group of finite rank or a soluble linear group over a finite extension field of the rational numbers. We consider the implications for G if G has an automorphism of finite order m with only finitely many fixed points. For example, if m is prime then G is a finite extension of a nilpotent group and if m = 4 then G is a finite extension of a centre-by-metabelian group. This extends the special cases where G is polycyclic, proved recently by Endimioni (2010); see [3]. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:1112 / 1115
页数:4
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