Year: 2026
Type: preprint
Abstract: Let $G$ be a non-solvable group and $p$ any fixed prime divisor of $|G|$. We prove that the intersection of all non-nilpotent maximal subgroups of $G$ of order divisible by $p$ containing the normalizer of some Sylow subgroup is $p$-closed, which provides a further generalization of Shidov's theorem and Shlyk's theorem.
Source: arXiv (Cornell University)
Authors: Shi, Jiangtao, Li, Fanghua
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225200043