Geodesic
Representations of free $m$-groups by automorphisms of linearly ordered sets
Algebra i logika, Tome 53 (2014) no. 2, pp. 178-184.

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It is shown that free $m$-groups of an arbitrary $m$-variety are approximated by automorphism groups of suitable linearly ordered sets.
Mots-clés : $m$-group
Keywords: $m$-transitive representation, free $m$-group. 
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S. V. Varaksin. Representations of free $m$-groups by automorphisms of linearly ordered sets. Algebra i logika, Tome 53 (2014) no. 2, pp. 178-184. http://geodesic.mathdoc.fr/item/AL_2014_53_2_a2/

[1] M. Giraudet, J. Rachůnek, “Varieties of half lattice-ordered groups of monotonic permutations of chains”, Czech. Math. J., 49:4 (1999), 743–766 | DOI | 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] N. V. Bayanova, N. Ya. Medvedev, “Reversivnye avtomorfizmy svobodnykh $l$-grupp”, Algebra i logika, 43:2 (2004), 159–169 | MR | Zbl

[4] S. V. Varaksin, “O svobodnykh $m$-gruppakh i svobodnykh $m$-proizvedeniyakh”, Izv. Alt. gos. un-ta, 2013, no. 1-1(77), 16–18

[5] A. M. W. Glass, Ordered permutation groups, Lond. Math. Soc. Lect. Note Ser., 55, Cambridge Univ. Press, Cambridge etc., 1981 | MR | Zbl

[6] S. V. Varaksin, A. V. Zenkov, “O predstavleniyakh $m$-grupp”, Sib. matem. zh., 54:2 (2013), 298–302 | MR | Zbl