A CHARACTERIZATION OF THE GROUP A_{22} BY NON-COMMUTING GRAPH

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 50, Issue 1, 2013, pp.117-123
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2013.50.1.117

Title & Authors

A CHARACTERIZATION OF THE GROUP A_{22} BY NON-COMMUTING GRAPH

Darafsheh, Mohammad Reza; Yosefzadeh, Pedram;

Darafsheh, Mohammad Reza; Yosefzadeh, Pedram;

Abstract

Let G be a finite non-abelian group. We define the non-commuting graph of G as follows: the vertex set of is G-Z(G) and two vertices x and y are adjacent if and only if . In this paper we prove that if G is a finite group with , then where is the alternating group of degree 22.

Keywords

finite group;non-commuting graph;prime graph;alternating group;

Language

English

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