On Finite Groups with Some Minimal Subgroups Weakly Supplemented

被引:0
|
作者
Qingjun Kong
Jingdi Li
机构
[1] Tianjin Polytechnic University,Department of Mathematics
来源
Bulletin of the Malaysian Mathematical Sciences Society | 2020年 / 43卷
关键词
Weakly supplemented subgroups; -nilpotent groups; Solvable groups; 20D10; 20D20;
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学科分类号
摘要
A subgroup H of a finite group G is weakly supplemented in G if there exists a proper subgroup K of G such that G=HK\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G=HK$$\end{document}. In the paper, we present some sufficient and necessary conditions for a finite group to be p-nilpotent and solvable by using some weakly supplemented minimal subgroups. As applications, we extend some known results.
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页码:2989 / 2994
页数:5
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