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.

引用

页码：233 / 238

页数：6

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