On 𝑠-Semipermutable Subgroups of Finite Groups and 𝑝-Nilpotency

Proceedings Mathematical Sciences

Han Zhangjia¹ 

[1] College of Mathematics, Chengdu University of Information Technology, Sichuan 0, People’s Republic of China$$

关键词: 𝑠-Semipermutable subgroups;    𝑝-nilpotent groups;    finite groups.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

A subgroup 𝐻 of a group is said to be 𝑠-semipermutable in 𝐺 if it is permutable with every Sylow 𝑝-subgroup of 𝐺 with $(p,|H|)=1$. Using the concept of 𝑠-semipermutable subgroups, some new characterizations of 𝑝-nilpotent groups are obtained and several results are generalized.

【 授权许可】

Unknown