Geodesic
PERMUTABLE DIAGONAL-TYPE SUBGROUPS OF $G\times H$
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 73-77

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Two subgroups $M$ and $S$ of a group $G$ are said to permute, or $M$permutes with$S$, if $MS = SM$. Furthermore, $M$ is a permutable subgroup of $G$ if $M$ permutes with every subgroup of $G$. In this article, we provide necessary and sufficient conditions for a subgroup of $G\times H$, whose intersections with the direct factors are normal, to be a permutable subgroup.
DOI : 10.1017/S0017089502001003
Mots-clés : 20D40 
Evan, Joseph. PERMUTABLE DIAGONAL-TYPE SUBGROUPS OF $G\times H$. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 73-77. doi: 10.1017/S0017089502001003
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     title = {PERMUTABLE {DIAGONAL-TYPE} {SUBGROUPS} {OF} $G\times H$},
     journal = {Glasgow mathematical journal},
     pages = {73--77},
     year = {2003},
     volume = {45},
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     doi = {10.1017/S0017089502001003},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502001003/}
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