English

p-sylowizers and p-nilpotency of finite groups

Group Theory 2023-06-26 v1

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 Op(G)O^p(G) are S-permutable in G. We obtain some criterions for p-nilpotency of a finite group.

Keywords

Cite

@article{arxiv.2306.13344,
  title  = {p-sylowizers and p-nilpotency of finite groups},
  author = {Yaxin Gao and Xianhua Li and Donglin Lei},
  journal= {arXiv preprint arXiv:2306.13344},
  year   = {2023}
}