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

页码：147 / 155

页数：8

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