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.
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页数：9
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