On Thompson's conjecture for some finite simple groups

被引：34
|
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.
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页码：205 / 228
页数：24
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