A CHARACTERIZATION OF THE GROUP A22 BY NON-COMMUTING GRAPH

被引：0

作者：

Darafsheh, Mohammad Reza ^{[1
]}

Yosefzadeh, Pedram ^{[2
]}

机构：

[1] Univ Tehran, Sch Math Stat & Comp Sci, Coll Sci, Tehran, Iran

[2] KN Toosi Univ Technol, Dept Math, Tehran, Iran

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 01期

关键词：

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

D O I：

10.4134/BKMS.2013.50.1.117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite non-abelian group. We define the noncommuting graph del(G) of G as follows: the vertex set of del(G) is G-Z (G) and two vertices x and y are adjacent if and only if xy not equal yx. In this paper we prove that if G is a finite group with del(G) congruent to del(A(22)), then G congruent to A(22), where A(22) is the alternating group of degree 22.

引用

页码：117 / 123

页数：7

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