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
收藏
页码：268 / 272
页数：5
相关论文
共 50 条
  • [21] Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group
    Zhurtov, A. Kh.
    Lytkina, D. V.
    Mazurov, V. D.
    ALGEBRA AND LOGIC, 2023, 62 (01) : 50 - 53
  • [22] ON FINITE GROUPS ISOSPECTRAL TO THE SIMPLE GROUP S4(3)
    Lytkin, Yuri, V
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 1561 - 1566
  • [23] Composition factors of rational finite groups
    Thompson, John G.
    JOURNAL OF ALGEBRA, 2008, 319 (02) : 558 - 594
  • [24] Characterization of automorphism groups of sporadic simple groups
    Hong Shen
    Hongping Cao
    Guiyun Chen
    Frontiers of Mathematics in China, 2012, 7 : 513 - 519
  • [25] Characterization of automorphism groups of sporadic simple groups
    Shen, Hong
    Cao, Hongping
    Chen, Guiyun
    FRONTIERS OF MATHEMATICS IN CHINA, 2012, 7 (03) : 513 - 519
  • [26] SPORADIC SIMPLE SUBGROUPS OF FINITE EXCEPTIONAL GROUPS OF LIE TYPE
    KLEIDMAN, PB
    WILSON, RA
    JOURNAL OF ALGEBRA, 1993, 157 (02) : 316 - 330
  • [27] On the structure of finite groups isospectral to an alternating group
    Vakula, I. A.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (03): : 45 - 60
  • [28] On the structure of finite groups isospectral to an alternating group
    Vakula, I. A.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2011, 272 : 271 - 286
  • [29] Factorisations of sporadic simple groups
    Giudici, Michael
    JOURNAL OF ALGEBRA, 2006, 304 (01) : 311 - 323
  • [30] A CHARACTERIZATION OF THE SIMPLE SPORADIC GROUPS
    Asboei, A. K.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2013, 10 : 200 - 204
12345