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
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
  • [1] Composition Factors of the Finite Groups Isospectral to Simple Classical Groups
    A. M. Staroletov
    Siberian Mathematical Journal, 2021, 62 : 341 - 356
  • [2] COMPOSITION FACTORS OF THE FINITE GROUPS ISOSPECTRAL TO SIMPLE CLASSICAL GROUPS
    Staroletov, A. M.
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (02) : 341 - 356
  • [3] Finite Groups Isospectral to Simple Groups
    Maria A. Grechkoseeva
    Victor D. Mazurov
    Wujie Shi
    Andrey V. Vasil’ev
    Nanying Yang
    Communications in Mathematics and Statistics, 2023, 11 : 169 - 194
  • [4] Finite Groups Isospectral to Simple Groups
    Grechkoseeva, Maria A.
    Mazurov, Victor D.
    Shi, Wujie
    Vasil'ev, Andrey V.
    Yang, Nanying
    COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2023, 11 (02) : 169 - 194
  • [5] On the structure of finite groups isospectral to finite simple groups
    Grechkoseeva, Mariya A.
    Vasil'ev, Andrey V.
    JOURNAL OF GROUP THEORY, 2015, 18 (05) : 741 - 759
  • [6] ISOSPECTRAL FINITE SIMPLE GROUPS
    Buturlakin, A. A.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2010, 7 : 111 - 114
  • [7] On finite groups isospectral to simple classical groups
    Vasil'ev, A. V.
    JOURNAL OF ALGEBRA, 2015, 423 : 318 - 374
  • [8] On finite groups isospectral to simple symplectic and orthogonal groups
    A. V. Vasil’ev
    M. A. Grechkoseeva
    V. D. Mazurov
    Siberian Mathematical Journal, 2009, 50 : 965 - 981
  • [9] On finite groups isospectral to simple symplectic and orthogonal groups
    Vasil'ev, A. V.
    Grechkoseeva, M. A.
    Mazurov, V. D.
    SIBERIAN MATHEMATICAL JOURNAL, 2009, 50 (06) : 965 - 981
  • [10] On finite groups isospectral to simple linear and unitary groups
    Vasil'ev, A. V.
    Grechkoseeva, M. A.
    Staroletov, A. M.
    SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (01) : 30 - 40