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.
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页码：200 / 205
页数：5
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