On semi-cover-avoiding 2-maximal subgroups of finite groups

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

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