SPORADIC COMPOSITION FACTORS OF FINITE GROUPS ISOSPECTRAL TO SIMPLE GROUPS

被引：0

作者：

Staroletov, A. M. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2011年 / 8卷

关键词：

recognition by spectrum; sporadic groups; finite simple groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers a group which has a nonabelian sporadic composition factor and the same set of element orders as a finite simple group. It is proved that such group is isomorphic to U-5(2) or a sporadic group.

引用

页码：268 / 272

页数：5

共 50 条

[41] Centralisers of finite groups in locally finite simple groups
Benson, David J.
COMMUNICATIONS IN ALGEBRA, 2023, 51 (11) : 4795 - 4803
[42] On finite groups isospectral to PSp4(q)
Grechkoseeva, M. A.
Rodionov, V. M.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2023, 29 (04): : 64 - 69
[43] On finite groups isospectral to U3(3)
Yu. V. Lytkin
Siberian Mathematical Journal, 2017, 58 : 633 - 643
[44] The finite simple groups
Shiu, Peter
MATHEMATICAL GAZETTE, 2011, 95 (532): : 157 - +
[45] FINITE SIMPLE GROUPS
HURLEY, JF
RUDVALIS, A
AMERICAN MATHEMATICAL MONTHLY, 1977, 84 (09): : 693 - 714
[46] On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders
A. R. Moghaddamfar
A. R. Zokayi
M. R. Darafsheh
Acta Mathematica Sinica, 2004, 20 : 653 - 662
[47] GROUPS WITH THE SAME CHARACTER DEGREES AS SPORADIC ALMOST SIMPLE GROUPS
Alavi, Seyed Hassan
Daneshkhah, Ashraf
Jafari, Ali
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 94 (02) : 254 - 265
[48] On the characterizability of the automorphism groups of sporadic simple groups by their element orders
Moghaddamfar, AR
Zokayi, AR
Darafsheh, MR
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 20 (04) : 653 - 662
[49] On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders
A.R.MOGHADDAMFAR
A.R.ZOKAYI
M.R.DARAFSHEH
Acta Mathematicae Applicatae Sinica(English Series), 2004, (04) : 653 - 662
[50] On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders
A.R.MOGHADDAMFAR A.R.ZOKAYI Department of Mathematics
Acta Mathematica Sinica(English Series), 2004, 20 (04) : 653 - 662

← 1 2 3 4 5 →