On Thompson's conjecture for some finite simple groups

被引：35

作者：

Ahanjideh, Neda ^{[1
]}

机构：

[1] Shahrekord Univ, Dept Math, Shahrekord, Iran

来源：

JOURNAL OF ALGEBRA | 2011年 / 344卷 / 01期

关键词：

Simple groups; Minimal normal subgroup; Conjugacy classes; Centralizer; PRIME GRAPH COMPONENTS; LINEAR-GROUPS; ORDERS;

D O I：

10.1016/j.jalgebra.2011.05.043

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 an infinite class of simple groups of Lie type. More precisely, we show that every finite group G with the property Z(G) = 1 and cs(G) = cs(PSLn(q)) is necessarily isomorphic to PSLn(q). Note that cs(G) is the set of lengths of conjugacy classes of G. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：205 / 228

页数：24

共 22 条

[1]

BI J., 1995, ACTA MATH SINICA, V11, P300

[2]

Carter Roger W., 1993, FINITE GROUPS LIE TY

[3]

Chen GY, 1996, J ALGEBRA, V185, P184

[4] Groups with the same non-commuting graph [J].