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

页码：30 / 40

页数：11

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