Abstract A subgroup H of a finite group G is said to be nearly s-embedded in G if G has an s-permutable subgroup T and an s-semipermutable subgroup HssG contained in H such that and where HsG is the intersection of all s-permutable subgroups of G containing H. In this article, we investigate the influence of some nearly s-embedded subgroups of Sylow p-subgroups on the p-nilpotency of finite groups. A number of known results are improved and extended.

中文翻译：

---

近 s 嵌入的子群和有限群的 p 幂零性

摘要 如果 G 有一个 s-可置换子群 T 和一个包含在 H 中的 s-半置换子群 HssG 使得 并且其中 HsG 是所有 s-包含 H 的 G 的可置换子群。在本文中，我们研究了 Sylow p-子群的一些近似 s 嵌入的子群对有限群的 p-幂零性的影响。许多已知结果得到改进和扩展。