Geodesic
Presentations and Cartesian product of $m$-groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 83 (2023), pp. 17-23

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It is shown that any convex $m$-subgroup of a Cartesian product of $m$-groups that admits a faithful $m$-transitive representation is a convex m-subgroup of an appropriate projection of the Cartesian product of $m$-groups. This implies that the Cartesian product of $m$-groups does not admit a faithful $m$-transitive representation.
Mots-clés : $m$-group
Keywords: Cartesian product, $m$-transitive representation of an $m$-group. 
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     author = {A. V. Zenkov},
     title = {Presentations and {Cartesian} product of $m$-groups},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {17--23},
     publisher = {mathdoc},
     number = {83},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2023_83_a1/}
}
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A. V. Zenkov. Presentations and Cartesian product of $m$-groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 83 (2023), pp. 17-23. http://geodesic.mathdoc.fr/item/VTGU_2023_83_a1/