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 : 203 | Download : 228

Publication Date : 2024-04-23

Article Type : Research Paper

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