We study m-transitive representations of Abelian m-groups. Representations are found which mimic a variety \( {\mathcal A} \) of all Abelian m-groups and a variety \( {\mathcal J} \) of m-groups defined by an identity x * = x −1.
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Translated from Algebra i Logika, Vol. 50, No. 4, pp. 497–503, July-August, 2011.
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Zenkov, A.V. Abelian groups of monotonic permutations. Algebra Logic 50, 341–345 (2011). https://doi.org/10.1007/s10469-011-9145-6
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DOI: https://doi.org/10.1007/s10469-011-9145-6