Geodesic
On Mutually m-permutable Products of Smooth Groups
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 277-282

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DOI

Let $G$ be a finite group and $H$ , $K$ two subgroups of $G$ . A group $G$ is said to be a mutually $m$ -permutable product of $H$ and $K$ if $G\,=\,HK$ and every maximal subgroup of $H$ permutes with $K$ and every maximal subgroup of $K$ permutes with $H$ . In this paper, we investigate the structure of a finite group that is a mutually $m$ -permutable product of two subgroups under the assumption that its maximal subgroups are totally smooth.
DOI : 10.4153/CMB-2014-009-x
Mots-clés : 20D10, 20D20, 20E15, 20F16, permutable subgroups, m-permutable, smooth groups, subgroup lattices 
Elkholy, A. M.; El-Latif, M. H. Abd. On Mutually m-permutable Products of Smooth Groups. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 277-282. doi: 10.4153/CMB-2014-009-x
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     title = {On {Mutually} m-permutable {Products} of {Smooth} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {277--282},
     year = {2014},
     volume = {57},
     number = {2},
     doi = {10.4153/CMB-2014-009-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-009-x/}
}
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