Solvability of any group with Hall supplements to normalizers of Sylow subgroups

被引：0
|
作者：
Monakhov, V. S. [1 ]
Borodich, T. V. [1 ]
机构：
[1] Gomel State Univ, Gomel, BELARUS
来源：
MATHEMATICAL NOTES | 2009年 / 85卷 / 1-2期
关键词：
finite group; Sylow subgroup; Hall supplement; normalizer; solvable group; nilpotent group; simple group; hereditary formation of groups; FINITE-GROUPS; FACTORIZATIONS; PRODUCT;
D O I：
10.1134/S0001434609010246
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The solvability of any finite group with Hall supplements to normalizers of the Sylow subgroups is established.
引用
收藏
页码：209 / 214
页数：6
相关论文
共 50 条
  • [1] Solvability of any group with Hall supplements to normalizers of Sylow subgroups
    V. S. Monakhov
    T. V. Borodich
    Mathematical Notes, 2009, 85 : 209 - 214
  • [2] Finite groups in which Sylow normalizers have nilpotent Hall supplements
    Li, B.
    Guo, W.
    Huang, J.
    SIBERIAN MATHEMATICAL JOURNAL, 2009, 50 (04) : 667 - 673
  • [3] Finite groups in which Sylow normalizers have nilpotent Hall supplements
    Baojun Li
    Wenbin Guo
    Jianhong Huang
    Siberian Mathematical Journal, 2009, 50 : 667 - 673
  • [4] On normalizers of Sylow subgroups in finite groups
    A. Ballester-Bolinches
    L. A. Shemetkov
    Siberian Mathematical Journal, 1999, 40 : 1 - 2
  • [5] On normalizers of Sylow subgroups in finite groups
    Ballester-Bolinches, A
    Shemetkov, LA
    SIBERIAN MATHEMATICAL JOURNAL, 1999, 40 (01) : 1 - 2
  • [6] On the Sylow graph of a group and Sylow normalizers
    L. S. Kazarin
    A. Martínez-Pastor
    M. D. Pérez-Ramos
    Israel Journal of Mathematics, 2011, 186 : 251 - 271
  • [7] On the Sylow graph of a group and Sylow normalizers
    Kazarin, L. S.
    Martinez-Pastor, A.
    Perez-Ramos, M. D.
    ISRAEL JOURNAL OF MATHEMATICS, 2011, 186 (01) : 251 - 271
  • [8] Normalizers of Sylow Subgroups in Finite Linear and Unitary Groups
    Vasil'ev, A. V.
    ALGEBRA AND LOGIC, 2020, 59 (01) : 1 - 17
  • [9] Finite Groups with Formation Subnormal Normalizers of Sylow Subgroups
    Vasil'ev, A. F.
    Vasil'eva, T., I
    Koranchuk, A. G.
    MATHEMATICAL NOTES, 2020, 108 (5-6) : 661 - 670
  • [10] Normalizers of Sylow Subgroups in Finite Linear and Unitary Groups
    A. V. Vasil’ev
    Algebra and Logic, 2020, 59 : 1 - 17
12345