On $n$-maximal subgroups of finite groups

TL;DR

This paper characterizes finite soluble groups where all $n$-maximal subgroups are $rak F$-subnormal, providing insights into their subgroup structure and properties.

Contribution

It offers a new description of finite soluble groups with $n$-maximal subgroups that are $rak F$-subnormal, extending understanding of subgroup normality conditions.

Findings

Finite soluble groups with all $n$-maximal subgroups $rak F$-subnormal are characterized.

The paper establishes structural properties related to $rak F$-subnormality.

Results contribute to subgroup theory and the classification of finite groups.

Abstract

We describe finite soluble groups in which every $n$-maximal subgroup is $\mathfrak F$-subnormal.