On finite groups isospectral to simple linear and unitary groups

被引：9
|
作者：
Vasil'ev, A. V. [1 ,2 ]
Grechkoseeva, M. A. [1 ,2 ]
Staroletov, A. M. [1 ,2 ]
机构：
[1] Sobolev Inst Math, Novosibirsk, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2011年 / 52卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
finite group; spectrum of a group; simple group; linear group; unitary group; composition factor; PRIME GRAPH COMPONENTS; ELEMENT ORDERS; RECOGNITION; SPECTRUM;
D O I：
10.1134/S0037446606010046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L be a simple linear or unitary group of dimension larger than 3 over a finite field of characteristic p. We deal with the class of finite groups isospectral to L. It is known that a group of this class has a unique nonabelian composition factor. We prove that if L not equal U (4)(2), U (5)(2) then this factor is isomorphic to either L or a group of Lie type over a field of characteristic different from p.
引用
收藏
页码：30 / 40
页数：11
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