On recognizability of some finite simple orthogonal groups by spectrum

被引：0
|
作者：
O. A. Alekseeva
A. S. Kondrat’ev
机构：
[1] Chelyabinsk Institute of Humanities,Institute of Mathematics and Mechanics
[2] Ural Division of the Russian Academy of Sciences,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2009年 / 266卷
关键词：
finite simple group; spectrum of a group; prime graph; recognition by spectrum; orthogonal group;
D O I：
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学科分类号：
摘要：
It is proved that, if G is a finite group that has the same set of element orders as the simple group Dp(q), where p is prime, p ≥ 5 and q ∈ {2, 3, 5}, then the commutator group of G/F(G) is isomorphic to Dp(q), the subgroup F(G) is equal to 1 for q = 5 and to Oq(G) for q ∈ {2, 3}, F(G) ≤ G′, and |G/G′| ≤ 2.
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页码：10 / 23
页数：13
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