On recognition of finite simple groups with connected prime graph

被引：49
|
作者：
Vasil'ev, A. V. [1 ]
Gorshkov, I. B. [2 ]
机构：
[1] Sobolev Inst Math, Novosibirsk, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
finite group; finite simple group; spectrum of a group; prime graph of a group; COMPONENTS; ORDER;
D O I：
10.1007/s11202-009-0027-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The spectrum of a finite group is the set of its element orders. We prove a theorem on the structure of a finite group whose spectrum is equal to the spectrum of a finite nonabelian simple group. The theorem can be applied to solving the problem of recognizability of finite simple groups by spectrum.
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页码：233 / 238
页数：6
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