p-sylowizers and p-nilpotency of finite groups

2023/06/23 by Yaxin Gao, Xianhua Li, Gao, Yaxin +3
Mathematics · Engineering · Computer Science · #Finite Group Theory Research #graph theory and CDMA systems #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.2306.13344

Abstract

In this paper, we investigate the structure of finite group G by assuming that the intersections between p-sylowizers of some p-subgroups of G and O^p(G) are S-permutable in G. We obtain some criterions for p-nilpotency of a finite group.

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