This article is cited in 1 paper

Abelian groups of monotonic permutations

A. V. Zenkov

Altai State Agricultural University, Barnaul, Russia

Abstract: 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 $x_*=x^{-1}$.

Keywords: abelian $m$-group, representation, mimicking.

UDC: 512.545

Received: 21.05.2010
Revised: 05.08.2010

 English version: Algebra and Logic, 2011, 50:4, 341–345

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