On ρ-semipermutable subgroups of finite groups

被引：0
|
作者：
Huang, Yuxi [1 ]
Xu, Yong [1 ]
机构：
[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
基金：
中国国家自然科学基金;
关键词：
rho-semipermutable; p-nilpotency; p-length; finite group; SYLOW P-SUBGROUPS; MINIMAL SUBGROUPS; QUASINORMALITY;
D O I：
10.1142/S0219498826500799
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a finite group and H a subgroup of G. We say that H is rho-semipermutable in G if H permutes with all Sylow subgroups G(p) of G such that (|H|,p) = 1 and p ||H-G|. This paper aims to study the structure of finite groups G in the context of the assumption that all maximal subgroups of a Sylow p-subgroup of G are rho-semipermutable and some new results are obtained.
引用
收藏
页数：9
相关论文
共 50 条
  • [11] c-Semipermutable subgroups of finite groups
    B. Hu
    W. Guo
    Siberian Mathematical Journal, 2007, 48 : 180 - 188
  • [12] c-semipermutable subgroups of finite groups
    Hu, B.
    Guo, W.
    SIBERIAN MATHEMATICAL JOURNAL, 2007, 48 (01) : 180 - 188
  • [13] On s-semipermutable subgroups of finite groups
    Yang Ming Li
    Xuan Li He
    Yan Ming Wang
    Acta Mathematica Sinica, English Series, 2010, 26 : 2215 - 2222
  • [14] Finite groups with S-Semipermutable subgroups
    Zhao, Peichen
    Advances in Information Sciences and Service Sciences, 2012, 4 (08): : 61 - 66
  • [15] X-semipermutable subgroups of finite groups
    Guo, Wenbin
    Shum, K. P.
    Skiba, Alexander N.
    JOURNAL OF ALGEBRA, 2007, 315 (01) : 31 - 41
  • [16] FINITE GROUPS WITH SOME SUBGROUPS OF SYLOW SUBGROUPS s*-SEMIPERMUTABLE
    Kong, Qingjun
    Guo, Xiuyun
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2021, 58 (02) : 147 - 156
  • [17] On s-semipermutable subgroups of finite groups
    Li, Yang Ming
    He, Xuan Li
    Wang, Yan Ming
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (11) : 2215 - 2222
  • [18] Weakly s-semipermutable subgroups of finite groups
    Xu, Yong
    Li, Xianhua
    FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (01) : 161 - 175
  • [19] On Weakly s-Semipermutable Subgroups of Finite Groups
    Tang, Na
    Li, Xianhua
    ALGEBRA COLLOQUIUM, 2014, 21 (04) : 541 - 550
  • [20] A note on S-semipermutable subgroups of finite groups
    Yu, Haoran
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2017, 138 : 257 - 263
12345