The local permutability of primary subgroups

被引:0
|
作者
Xie, Fengyan [1 ]
Liu, Huicai [2 ]
Liu, Qian [1 ]
机构
[1] Anyang Univ, Sch Comp Sci & Math, Anyang 455000, Peoples R China
[2] Xuchang Elect Vocat Coll, Dept Publ Educ, Xuchang 461000, Peoples R China
关键词
Finite group; p-supersoluble group; generalized fitting subgroup; SEMIPERMUTABLE SUBGROUPS;
D O I
10.1142/S0219498824501482
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let P be a primary subgroup of a finite group G. The structure of G is studied by the local permutability of P.
引用
收藏
页数:7
相关论文
共 50 条
  • [11] Non-permutability Graph of Subgroups
    Seid Kassaw Muhie
    Daniele Ettore Otera
    Francesco G. Russo
    Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 3875 - 3894
  • [12] NOTE ON ORTHOGONALITY AND PERMUTABILITY OF SUBNORMAL SUBGROUPS
    LENNOX, JC
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 72 (NOV): : 351 - &
  • [13] PLANARITY OF PERMUTABILITY GRAPHS OF SUBGROUPS OF GROUPS
    Rajkumar, R.
    Devi, P.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (03)
  • [14] Pronormal and subnormal subgroups and permutability.
    Beidleman, J
    Heineken, H
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2003, 6B (03): : 605 - 615
  • [15] Non-permutability Graph of Subgroups
    Muhie, Seid Kassaw
    Otera, Daniele Ettore
    Russo, Francesco G.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 3875 - 3894
  • [16] Permutability of subgroups and F-subnormality
    Kamornikov, SF
    SIBERIAN MATHEMATICAL JOURNAL, 1996, 37 (05) : 936 - 949
  • [17] ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS
    Ballester-Bolinches, A.
    Cossey, John
    Soler-Escriva, X.
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2010, 12 (02) : 207 - 221
  • [18] On R-conjugate-permutability of sylow subgroups
    Zhao, Xianhe
    Chen, Ruifang
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2016, 66 (01) : 111 - 117
  • [19] Permutability of subgroups of G×H that are direct products of subgroups of the direct factors
    J. Evan
    Archiv der Mathematik, 2001, 77 : 449 - 455
  • [20] On R-conjugate-permutability of sylow subgroups
    Xianhe Zhao
    Ruifang Chen
    Czechoslovak Mathematical Journal, 2016, 66 : 111 - 117