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

被引：0

作者：

Wei, Huaquan ^{[1
]}

Sun, Changman ^{[1
]}

Diao, Xixi ^{[1
]}

Hou, Xuanyou ^{[1
]}

Yang, Liying ^{[2
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Peoples R China

[2] Nanning Normal Univ, Sch Math & Stat, Nanning, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 03期

关键词：

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

D O I：

10.1080/00927872.2022.2133134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1242 / 1249

页数：8

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