- Hacettepe Journal of Mathematics and Statistics
- Cilt: 53 Sayı: 2
- On semi-cover-avoiding 2-maximal subgroups of finite groups
On semi-cover-avoiding 2-maximal subgroups of finite groups
Authors : Xindan Chen, Tingting Qıu, Juping Tang
Pages : 333-341
Doi:10.15672/hujms.1112482
View : 178 | Download : 220
Publication Date : 2024-04-23
Article Type : Research
Abstract :A subgroup $H$ of a finite group $G$ is said to be ``semi-cover-avoiding in $G$\'\', if there exists a chief series of $G$ such that $H$ covers or avoids every chief factor of the chief series. In this article, we will consider some 2-maximal subgroups with the property of semi-cover-avoiding of a group $G$ and explore the structure of $G$.Keywords : semi-cover-avoiding proterty, soluble groups, maximal subgroups, 2-maximal subgroups, Sylow p-subgroups, p-solvable