FINITE ALMOST SIMPLE 5-PRIMARY GROUPS AND THEIR GRUENBERG-KEGEL GRAPHS

被引:0
|
作者
Kondrat'ev, Anatoly S. [1 ,2 ]
机构
[1] RAS, NN Krasovskii Inst Math & Mech, UB, 16 S Kovalevskaya St, Ekaterinburg 620990, Russia
[2] Ural Fed Univ, Ekaterinburg 620002, Russia
关键词
finite almost simple group; prime graph; 5-primary group;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The finite almost simple 5-primary groups and their Gruenberg-Kegel graphs are determined. In addition, a list of finite simple 5-primary groups is essentially refined.
引用
收藏
页码:634 / 674
页数:41
相关论文
共 50 条
  • [21] On the Coincidence of Gruenberg–Kegel Graphs of an Almost Simple Group and a Nonsolvable Frobenius Group
    N. V. Maslova
    K. A. Ilenko
    Proceedings of the Steklov Institute of Mathematics, 2022, 317 : S130 - S135
  • [22] Recognition of the Sporadic Simple Groups Ru, HN, Fi22, He, McL, and Co3 by Their Gruenberg-Kegel Graphs
    Kondrat'ev, A. S.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2021, 313 (SUPPL 1) : S125 - S132
  • [23] On characterization by Gruenberg–Kegel graph of finite simple exceptional groups of Lie type
    Natalia V. Maslova
    Viktor V. Panshin
    Alexey M. Staroletov
    European Journal of Mathematics, 2023, 9
  • [24] On Finite Non-Solvable Groups Whose Gruenberg–Kegel Graphs are Isomorphic to the Paw
    A. S. Kondrat’ev
    N. A. Minigulov
    Communications in Mathematics and Statistics, 2022, 10 : 653 - 667
  • [25] Finite 4-Primary Groups with Disconnected Gruenberg–Kegel Graph Containing a Triangle
    A. S. Kondrat’ev
    Algebra and Logic, 2023, 62 (1) : 54 - 65
  • [26] On finite 4-primary groups having a disconnected Gruenberg-Kegel graph and a composition factor isomorphic to L3(17) or Sp4(4).
    Kondrat'ev, A. S.
    Suprunenko, I. D.
    Khramtsov, I., V
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2022, 28 (01): : 139 - 155
  • [27] Simple Groups Whose Gruenberg–Kegel Graph or Solvable Graph is Split
    Mark L. Lewis
    J. Mirzajani
    A. R. Moghaddamfar
    A. V. Vasil’ev
    M. A. Zvezdina
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 2523 - 2547
  • [28] CHARACTERIZATION OF GROUPS E6(3) AND 2E6(3) BY GRUENBERG-KEGEL GRAPH
    Khramova, A. P.
    Maslova, N., V
    Panshin, V. V.
    Staroletov, A. M.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02): : 1651 - 1656
  • [29] On the recognizability of sporadic simple groups Ru, HN, Fi22, He, Mc L, and Co3 by the Gruenberg-Kegel graph
    Kondrat'ev, A. S.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2019, 25 (04): : 79 - 87
  • [30] ON RECOGNITION OF THE SPORADIC SIMPLE GROUPS HS, J3, Suz, O′N, Ly, Th, Fi23, AND Fi24′ BY THE GRUENBERG-KEGEL GRAPH
    Kondrat'ev, A. S.
    SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (06) : 1087 - 1092