Finite groups with specific S*-embedded subgroups

被引:0
|
作者
Heliel, A. A. [1 ]
Al-Shomrani, M. M. [1 ]
Almestady, M. O. [1 ]
Zailai, A. H. [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
关键词
p-nilpotent; Supersolvable; S-semipermutable subgroup; S-permutably embedded subgroup; S-*-embedded subgroup; NORMALITY;
D O I
10.1007/s11587-023-00776-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We examine the p-nilpotency and supersolvablitiy of a finite group under the assump-tion that certain subgroups of prime power order are S,:- embedded in the group itself. In particular, we extend and generalize the recent results of Li (Commun. Algebra 50(4):1585-1594, https://doi.org/10.1080/00927872.2021.1986056, 2022) and the related results in the literature.
引用
收藏
页码:2749 / 2758
页数:10
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