A question on weakly H-subgroups of a finite group

被引：7

作者：

Gao, Jinxin ^{[1
]}

Guo, Xiuyun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 08期

基金：

中国国家自然科学基金;

关键词：

H-subgroup; weakly H-subgroup; p-supersoluble group;

D O I：

10.1142/S021949881850144X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of a finite group G is said to be an H-subgroup in G if N-G(H) boolean AND H-g <= H for all g is an element of G; and H is said to be a weakly H-subgroup in G if there is a normal subgroup T of G such that G = HT and H boolean AND T is an H-subgroup of G. In this paper, we give a positive answer to a problem posed by Li and Qiao [On weakly H-subgroups and p-nilpotency of finite groups, J. Algebra Appl. 16 (2017) 1750042].

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页数：7

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