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

页数：9

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