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Representation of free $m$-products of $m$-groups by automorphisms of linearly ordered sets
S. V. Varaksin Altai State University, pr. Lenina 61, Barnaul, 656049, Russia
Abstract:
A representation of a free $m$-product in the class of all of $m$-groups is constructed as a factor of a free $m$-group over a free product in the class of partially ordered groups with reversional automorphisms.
Keywords:
$m$-group, free $m$-group, partially ordered group with a reversional automorphism.
Received: 11.11.2014
Citation:
S. V. Varaksin, “Representation of free $m$-products of $m$-groups by automorphisms of linearly ordered sets”, Algebra Logika, 54:5 (2015), 589–598; Algebra and Logic, 54:5 (2015), 380–386
Linking options:
https://www.mathnet.ru/eng/al714 https://www.mathnet.ru/eng/al/v54/i5/p589
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Abstract page: | 149 | Full-text PDF : | 30 | References: | 26 | First page: | 3 |
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