On a graph associated to invariant conjugacy classes of finite groups

被引：5

作者：

Beltrán, A ^{[1
]}

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon 12071, Spain

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2003年 / 133卷 / 1期

关键词：

Normal Subgroup; Finite Group; Conjugacy Class; Frobenius Group; Finite Simple Group;

D O I：

10.1007/BF02773065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and G be finite groups of coprime orders such that A acts by automorphisms on G. We define the A-invariant conjugacy class graph of G to be the graph having as vertices the noncentral A-invariant conjugacy classes of G, and two vertices are connected by an edge if their cardinalities are not coprime. We prove that when the graph is disconnected then G is solvable.

引用

页码：147 / 155

页数：9

共 7 条

[1] ON GRAPHS RELATED TO CONJUGACY CLASSES OF GROUPS [J].