Characterization of finite groups by their commuting graph

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

A. Iranmanesh¹  A. Jafarzadeh¹ 

[1] Tarbiat Modares University, Tehran

关键词: order components;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

The commuting graph of a group $G$, denoted by $G(G)$, is a simple graph whose vertices are all non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if $xy=yx$. In [1] it is conjectured that if $M$ is a simple group and $G$ is a group satisfying $G(G)congG(M)$, then $Gcong M$. In this paper we prove this conjecture for many simple groups.

【 授权许可】

Unknown