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

Voir la notice de l'article provenant de la source Cambridge University Press

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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