On the Validity of Thompson's Conjecture for Finite Simple Groups

被引：19

作者：

Ahanjideh, N. ^{[1
]}

Ahanjideh, M. ^{[1
]}

机构：

[1] Univ Shahre Kord, Fac Basic Sci, Dept Math, Shahrekord, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 11期

关键词：

Classification theorem of finite simple groups; Conjugacy classes; Minimal normal subgroup; 20D06; 20D20; 20E28; PRIME GRAPH COMPONENTS;

D O I：

10.1080/00927872.2012.692003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove a conjecture of J. G. Thompson for the finite simple group D-2(n)(q). More precisely, we show that every finite group G with the property Z(G)=1 and N(G)=N(D-2(n)(q)) is necessarily isomorphic to D-2(n)(q). Note that N(G) is the set of lengths of conjugacy classes of G.

引用

页码：4116 / 4145

页数：30

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