Representations of free $m$-groups by automorphisms of linearly ordered sets

S. V. Varaksin

Altai State University, pr. Lenina 61, Barnaul, 656049, Russia

Abstract: It is shown that free $m$-groups of an arbitrary $m$-variety are approximated by automorphism groups of suitable linearly ordered sets.

Keywords: $m$-group, $m$-transitive representation, free $m$-group.

UDC: 512.545

Received: 14.11.2013
Revised: 25.12.2013

 English version: Algebra and Logic, 2014, 53:2, 114–118

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