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arXiv · 2306.13344

p-sylowizers and p-nilpotency of finite groups

Yaxin Gao·Xianhua Li·Donglin Lei
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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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Yaxin Gao, Xianhua Li, Donglin Lei. 2023-06-23. p-sylowizers and p-nilpotency of finite groups. https://arxiv.org/abs/2306.13344

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