On orbits of automorphism groups II

被引：0

作者：

Marian Deaconescu

Gary L. Walls

机构：

[1] Kuwait University,Department of MCS

[2] Southeastern Louisiana University,Department of Mathematics

来源：

Archiv der Mathematik | 2009年 / 92卷

关键词：

20D45; Finite groups; automorphisms; fixed points; orbits;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite group, let A be a group of automorphisms of G and let CG(A) denote the subgroup of fixed points of A in G. If the order of CG(A) is coprime to the number of orbits of A in G, then CG(A) is contained in the autocommutator subgroup [G, A]. The notion of class-avoiding automorphism is used to extend theorems of J. Thompson and P. Rowley.

引用

页码：200 / 205

页数：5

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