On finite factorized groups with permutable subgroups of factors

被引：2
|
作者：
Monakhov, Victor S. [1 ]
Trofimuk, Alexander A. [1 ]
机构：
[1] Francisk Skorina Gomel State Univ, Dept Math & Programming Technol, Gomel 246019, BELARUS
来源：
ARCHIV DER MATHEMATIK | 2021年 / 116卷 / 03期
关键词：
Mutually permutable subgroups; Sylow subgroups; msp-Permutable subgroups; Supersoluble groups;
D O I：
10.1007/s00013-020-01535-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two subgroupsAandBof a group Gare called msp-permutable if the following statements hold:AB is a subgroup of G; the subgroupsPandQare mutually permutable, whereP is an arbitrary Sylowp-subgroup of AandQ is an arbitrary Sylowq-subgroup of B, p not equal q. In the present paper, we investigate groups that are factorized by two msp-permutable subgroups. In particular, the supersolubility of the product of two supersoluble msp-permutable subgroups is proved.
引用
收藏
页码：241 / 249
页数：9
相关论文
共 50 条
  • [1] On finite factorized groups with permutable subgroups of factors
    Victor S. Monakhov
    Alexander A. Trofimuk
    Archiv der Mathematik, 2021, 116 : 241 - 249
  • [2] Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank
    Amberg, Bernhard
    Sysak, Yaroslav P.
    ADVANCES IN GROUP THEORY AND APPLICATIONS, 2016, 2 : 13 - 24
  • [3] On Groups Factorized by Mutually Permutable Subgroups
    Maria Ferrara
    Marco Trombetti
    Results in Mathematics, 2022, 77
  • [4] On Groups Factorized by Mutually Permutable Subgroups
    Ferrara, Maria
    Trombetti, Marco
    RESULTS IN MATHEMATICS, 2022, 77 (05)
  • [5] On Groups with Finite Abelian Section Rank Factorized by Mutually Permutable Subgroups
    de Giovanni, Francesco
    Ialenti, Roberto
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (01) : 118 - 124
  • [6] Periodic linear groups factorized by mutually permutable subgroups
    Ferrara, Maria
    Trombetti, Marco
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (04) : 1229 - 1254
  • [7] Periodic linear groups factorized by mutually permutable subgroups
    Maria Ferrara
    Marco Trombetti
    Czechoslovak Mathematical Journal, 2023, 73 : 1229 - 1254
  • [8] ON Π-PERMUTABLE SUBGROUPS IN FINITE GROUPS
    Hu, B.
    Huang, J.
    Adarchenko, N. M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2022, 73 (10) : 1643 - 1653
  • [9] On Π-Permutable Subgroups in Finite Groups
    B. Hu
    J. Huang
    N. M. Adarchenko
    Ukrainian Mathematical Journal, 2022, 73 : 1643 - 1653
  • [10] -permutable subgroups of finite groups
    Heliel, A. A.
    Ballester-Bolinches, A.
    Esteban-Romero, R.
    Almestady, M. O.
    MONATSHEFTE FUR MATHEMATIK, 2016, 179 (04): : 523 - 534
12345