On Mutually $m$-permutable Product of Smooth Groups

Canadian mathematical bulletin

A. M. Elkholy¹  M. H. Abd El-Latif¹ 

[1] Beni Suef University, Faculty of Science, Mathematics Department, Beni-Suef 62511, Egypt

关键词: permutable subgroups;    $m$-permutable;    smooth groups;    subgroup lattices;   

DOI  :  10.4153/CMB-2014-009-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $G$ be afinite group and $H$, $K$ two subgroups of G. A group $G$ is said tobe a mutually m-permutable product of $H$ and $K$ if $G=HK$ andevery maximal subgroup of $H$ permutes with $K$ and every maximalsubgroup of $K$ permutes with $H$. In this paper, we investigate thestructure of a finite group which is a mutually m-permutable productof two subgroups under the assumption that its maximal subgroups aretotally smooth.

【 授权许可】

Unknown