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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
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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/

[1] M. Giraudet, F. Lucas, “Groups à moitié ordonnés”, Fundam. Math., 139:2 (1991), 75–89 | MR | Zbl

[2] V. M. Kopytov, N. Ya. Medvedev, The theory of lattice-ordered groups, Math. Appl. (Dordrecht), 307, Kluwer Academic Publ., Dordrecht, 1994 | MR | Zbl

[3] P. F. Conrad, “Free lattice-ordered groups”, J. Algebra, 16:2 (1970), 191–203 | DOI | MR | Zbl

[4] C. Holland, E. Scrimger, “Free products of lattice-ordered groups”, Algebra Univers., 2 (1972), 247–254 | DOI | MR | Zbl