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.

UDC: 512.545

Received: 11.11.2014

DOI: 10.17377/alglog.2015.54.503

 English version: Algebra and Logic, 2015, 54:5, 380–386

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