Representation of free $m$-products of $m$-groups by automorphisms of linearly ordered sets
Algebra i logika, Tome 54 (2015) no. 5, pp. 589-598
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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.
Mots-clés :
$m$-group
Keywords: free $m$-group, partially ordered group with a reversional automorphism.
Keywords: free $m$-group, partially ordered group with a reversional automorphism.
@article{AL_2015_54_5_a2,
author = {S. V. Varaksin},
title = {Representation of free $m$-products of $m$-groups by automorphisms of linearly ordered sets},
journal = {Algebra i logika},
pages = {589--598},
publisher = {mathdoc},
volume = {54},
number = {5},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2015_54_5_a2/}
}
S. V. Varaksin. Representation of free $m$-products of $m$-groups by automorphisms of linearly ordered sets. Algebra i logika, Tome 54 (2015) no. 5, pp. 589-598. http://geodesic.mathdoc.fr/item/AL_2015_54_5_a2/