On weakly s-semipermutable subgroups and the p-nilpotency of finite groups

Huaquan Wei, Changman Sun,Xixi Diao,Xuanyou Hou,Liying Yang

Communications in Algebra（2022）

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摘要

A subgroup H of a group G is called weakly s-semipermutable in G if G has a subnormal subgroup T and an s-semipermutable subgroup H-ssG contained in H such that G = HT and H boolean AND T <= H-ssG. In this paper, we present several new criteria on p-nilpotency of finite groups with a small quantity of weakly s-semipermutable maximal subgroups of Sylow p-subgroups.

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关键词

Finite group, generalized p-Fitting subgroup, p-nilpotent group, s-semipermutable subgroup, weakly s-semipermutable subgroup

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