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

共 50 条

[31] Finite groups that have the same prime graph as the group A(10)
Kondrat'ev, A. S.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (01): : 136 - 143
[32] Cocliques of maximal size in the prime graph of a finite simple group
A. V. Vasil’ev
E. P. Vdovin
Algebra and Logic, 2011, 50 : 291 - 322
[33] COCLIQUES OF MAXIMAL SIZE IN THE PRIME GRAPH OF A FINITE SIMPLE GROUP
Vasil'ev, A. V.
Vdovin, E. P.
ALGEBRA AND LOGIC, 2011, 50 (04) : 291 - 322
[34] RECOGNIZING SOME FINITE SIMPLE GROUPS BY NONCOMMUTING GRAPH
Kheirabadi, M.
Moghaddamfar, A. R.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (04)
[35] On quasirecognition by prime graph of the simple groups An+ (p) and An- (p)
Mahmoudifar, Ali
Khosravi, Behrooz
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (01)
[36] On nonabelian simple groups having the same prime graph as an alternating group
M. A. Zvezdina
Siberian Mathematical Journal, 2013, 54 : 47 - 55
[37] Finite groups having the same prime graph as the group A10
A. S. Kondrat’ev
Proceedings of the Steklov Institute of Mathematics, 2014, 285 : 99 - 107
[38] Recognition of the Groups E7(2) and E7(3) by Prime Graph
Kondrat'ev, A. S.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2015, 289 : S139 - S145
[39] Recognition by spectrum for finite simple groups of Lie type
Grechkoseeva, Maria A.
Shi, Wujie
Vasilev, Andrey V.
FRONTIERS OF MATHEMATICS IN CHINA, 2008, 3 (02) : 275 - 285
[40] ON THE PRIME GRAPH OF A FINITE GROUP
Ghorbani, M.
Darafsheh, M. R.
Yousefzadeh, Pedram
MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 201 - 210

← 1 2 3 4 5 →