On finite groups isospectral to simple linear and unitary groups

被引：0
|
作者：
A. V. Vasil’ev
M. A. Grechkoseeva
A. M. Staroletov
机构：
[1] Sobolev Institute of Mathematics and Novosibirsk State University,
来源：
Siberian Mathematical Journal | 2011年 / 52卷
关键词：
finite group; spectrum of a group; simple group; linear group; unitary group; composition factor;
D O I：
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中图分类号：
学科分类号：
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 ≠ U4(2), U5(2) then this factor is isomorphic to either L or a group of Lie type over a field of characteristic different from p.
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页码：30 / 40
页数：10
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