Geodesic
Generalized wreath products of $m$-groups
Algebra i logika, Tome 58 (2019) no. 2, pp. 167-178
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The concept of a generalized wreath product of permutation $m$-groups is introduced, and it is proved that an $m$-transitive permutation group embeds into a generalized wreath product of its primitive components.
Mots-clés : $m$-group
Keywords: $m$-transitive representation, primitive component, generalized wreath product. 
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     title = {Generalized wreath products of $m$-groups},
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     url = {http://geodesic.mathdoc.fr/item/AL_2019_58_2_a1/}
}
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A. V. Zenkov; O. V. Isaeva. Generalized wreath products of $m$-groups. Algebra i logika, Tome 58 (2019) no. 2, pp. 167-178. http://geodesic.mathdoc.fr/item/AL_2019_58_2_a1/

[1] M. Giraudet, J. Rachunek, “Varieties of half lattice-ordered groups of monotonic permutations of chains”, Czech. Math. J., 49:4 (1999), 743–766 | DOI | MR | Zbl

[2] A. G. Kurosh, Teoriya grupp, Nauka, M., 1967 | MR

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

[4] V. M. Kopytov, Reshetochno uporyadochennye gruppy, Nauka, M., 1984

[5] A. V. Zenkov, “O kongruentsiyakh $m$-grupp”, Sib. matem. zh., 54:6 (2013), 1280–1286 | MR | Zbl

[6] A. V. Zenkov, O. V. Isaeva, “Dva voprosa teorii $m$-grupp”, Sib. matem. zh., 55:6 (2014), 1279–1282 | MR | Zbl

[7] V. M. Kopytov, I. Rakhunek, “Naibolshee sobstvennoe mnogoobrazie $m$-grupp”, Algebra i logika, 42:5 (2003), 624–635 | MR | Zbl