On weakly CSS-subgroups of finite groups

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发表日期：

2025年11月12日

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A. A. Heliel,
M. M. Al-Shomrani,
K. S. Baras

摘要

Let G be a finite group. A subgroup A of G is called SS-quasinormal of G if G has a subgroup C such that $G = AC$ $G = A C$ and A permutes with every Sylow subgroup of C; and A is called weakly CSS-subgroup of G if G has a subgroup C such that $G = AC$ $G = A C$ and $A\cap C$ $A \cap C$ is SS-quasinormal in G. In this paper, some new criteria are given for the p-nilpotency and supersolvability of a finite group G by investigating the influence of maximal weakly CSS-subgroups of G on its structure. Our results extend new results in the literature.