Presentations and Cartesian product of m-groups
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.
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Keywords
m-group, Cartesian product, m-transitive representation of an m-groupAuthors
| Name | Organization | |
| Zenkov Alexey V. | Altai State Agricultural University | alexey_zenkov@yahoo.com |
References
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Presentations and Cartesian product of m-groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2023. № 83. DOI: 10.17223/19988621/83/2
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