Finite widely c-supersoluble groups and their mutually permutable products

被引：2
|
作者：
Vasil'ev, A. F. [1 ]
Vasil'eva, T. I. [2 ]
Myslovets, E. N. [1 ]
机构：
[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS
[2] Belarusian State Univ Transport, Gomel, BELARUS
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 03期
关键词：
finite group; c-supersoluble group; w-supersoluble group; widely c-supersoluble group; composition formation; product of mutually permutable subgroups;
D O I：
10.1134/S0037446616030083
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A group is c-supersoluble if all its chief factors are isomorphic to simple groups. We introduce the notion of widely c-supersoluble group, which generalizes c-supersolubility. We obtain the properties and find applications of products of mutually permutable subgroups. In particular, we establish the wide c-supersolubility of a finite group that is a product of two mutually permutable c-supersoluble subgroups of coprime indices.
引用
收藏
页码：476 / 485
页数：10
相关论文
共 50 条
  • [21] On finite groups with many supersoluble subgroups
    A. Ballester-Bolinches
    R. Esteban-Romero
    Jiakuan Lu
    Archiv der Mathematik, 2017, 109 : 3 - 8
  • [22] Lattice Characterizations of Finite Supersoluble Groups
    A.-M. Liu
    W. Guo
    I. N. Safonova
    A. N. Skiba
    Siberian Mathematical Journal, 2022, 63 : 520 - 529
  • [23] -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
  • [24] Finite groups with supersoluble subgroups of given orders
    Monakhov, V. S.
    Tyutyanov, V. N.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2019, 25 (04): : 155 - 163
  • [25] On finite p-groups of supersoluble type
    Ballester-Bolinches, A.
    Esteban-Romero, R.
    Meng, H.
    Su, N.
    JOURNAL OF ALGEBRA, 2021, 567 : 1 - 10
  • [26] Finite groups with permutable Hall subgroups
    Yin, Xia
    Yang, Nanying
    FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (05) : 1265 - 1275
  • [27] On weakly σ-permutable subgroups of finite groups
    Zhang, Chi
    Wu, Zhenfeng
    Guo, Wenbin
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 91 (3-4): : 489 - 502
  • [28] Finite groups with permutable Hall subgroups
    Xia Yin
    Nanying Yang
    Frontiers of Mathematics in China, 2017, 12 : 1265 - 1275
  • [29] On σ-subnormal and σ-permutable subgroups of finite groups
    Skiba, Alexander N.
    JOURNAL OF ALGEBRA, 2015, 436 : 1 - 16
  • [30] On Subgroups of Finite Non-p-supersoluble Groups
    Yang, Nanying
    Yi, Xiaolan
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2013, 37 (03) : 455 - 464
12345