On a graph associated to invariant conjugacy classes of finite groups

被引：0
|
作者：
Antonio Beltrán
机构：
[1] Universidad Jaume I,Departamento de Matemáticas
来源：
Israel Journal of Mathematics | 2003年 / 133卷
关键词：
Normal Subgroup; Finite Group; Conjugacy Class; Frobenius Group; Finite Simple Group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
LetA andG be finite groups of coprime orders such thatA acts by automorphisms onG. We define theA-invariant conjugacy class graph ofG to be the graph having as vertices the noncentralA-invariant conjugacy classes ofG, and two vertices are connected by an edge if their cardinalities are not coprime. We prove that when the graph is disconnected thenG is solvable.
引用
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页码：147 / 155
页数：8
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