On weakly-supplemented subgroups and the structure of finite groups

被引：1

作者：

Kong Q. ^{[1
]}

Liu Q. ^{[2
]}

机构：

[1] Department of Mathematics, Tianjin Polytechnic University, Tianjin

[2] Department of Basic Sciences, Shandong Water Polytechnic, Rizhao

来源：

Ricerche di Matematica | 2014年 / 63卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Solvable groups; Supersolvable groups; Weakly-supplemented subgroups;

D O I：

10.1007/s11587-014-0178-8

中图分类号：

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. We prove that a finite group G is solvable if it has a maximal subgroup M such that every minimal subgroup of M is weakly-supplemented in G. As an application, some conditions for a finite group to be supersolvable are given. © 2014, Università degli Studi di Napoli Federico II"."

引用

页码：253 / 259

页数：6

共 9 条

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