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This article is cited in 1 scientific paper (total 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.
Received: 21.05.2010 Revised: 05.08.2010
Citation:
A. V. Zenkov, “Abelian groups of monotonic permutations”, Algebra Logika, 50:4 (2011), 497–503; Algebra and Logic, 50:4 (2011), 341–345
Linking options:
https://www.mathnet.ru/eng/al497 https://www.mathnet.ru/eng/al/v50/i4/p497
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Abstract page: | 295 | Full-text PDF : | 79 | References: | 50 | First page: | 4 |
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