Recognition by spectrum of simple groups C p (2)

被引:0
|
作者
Zinov'eva, M. R. [1 ]
机构
[1] Ural Fed Univ, Inst Radioelect & Informat Technol, Ekaterinburg 620002, Russia
基金
俄罗斯基础研究基金会;
关键词
finite simple group; prime graph; spectrum; recognition by spectrum; symplectic group; PRIME GRAPH COMPONENTS; FINITE SIMPLE-GROUPS; ORDERS; SET;
D O I
10.1134/S0081543812090131
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is proved that, if G is a finite group that has the same set of element orders as the simple group C (p) (2) for prime p > 3, then G/O (2)(G) is isomorphic to C (p) (2).
引用
收藏
页码:S163 / S174
页数:12
相关论文
共 50 条
  • [1] Recognizability by spectrum of simple groups C-p(2)
    Zinov'eva, M. R.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2011, 17 (04): : 102 - 113
  • [2] Recognition by spectrum of simple groups Cp(2)
    M. R. Zinov’eva
    Proceedings of the Steklov Institute of Mathematics, 2012, 279 : 163 - 174
  • [3] Recognition by spectrum for simple classical groups in characteristic 2
    Vasil'ev, A. V.
    Grechkoseeva, M. A.
    SIBERIAN MATHEMATICAL JOURNAL, 2015, 56 (06) : 1009 - 1018
  • [4] Recognition by spectrum for simple classical groups in characteristic 2
    A. V. Vasil’ev
    M. A. Grechkoseeva
    Siberian Mathematical Journal, 2015, 56 : 1009 - 1018
  • [5] Recognizability by spectrum of simple groups C-p(3)
    Zinov'eva, M. R.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (03): : 88 - 95
  • [6] Recognition by spectrum for finite simple groups of Lie type
    Maria A. Grechkoseeva
    Wujie Shi
    Andrey V. Vasilev
    Frontiers of Mathematics in China, 2008, 3 : 275 - 285
  • [7] 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
  • [8] On recognition by spectrum of finite simple linear groups over fields of characteristic 2
    Vasil'ev, AV
    Grechkoseeva, MA
    SIBERIAN MATHEMATICAL JOURNAL, 2005, 46 (04) : 593 - 600
  • [9] On Recognition by Spectrum of Finite Simple Linear Groups over Fields of Characteristic 2
    A. V. Vasil’ev
    M. A. Grechkoseeva
    Siberian Mathematical Journal, 2005, 46 : 593 - 600
  • [10] Recognition of the finite almost simple groups PGL2(q) by their spectrum
    Chen, G. Y.
    Mazurov, V. D.
    Shi, W. J.
    Vasil'ev, A. V.
    Zhurtov, A. Kh.
    JOURNAL OF GROUP THEORY, 2007, 10 (01) : 71 - 85