Geodesic
Normal closures of elements in group $\mathrm{Lim}(N)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 158-164.

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In this paper we describe the normal closures of elements in limited permutation group $G=\mathrm{Lim}(N)$ on the set of natural numbers $N$.
Mots-clés : group, dispersion set.
Keywords: limited permutation, normal subgroup 
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N. M. Suchkov; N. G. Suchkova. Normal closures of elements in group $\mathrm{Lim}(N)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 158-164. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a0/

[1] N.M. Suchkov, “Example of a mixed group factorized by two periodic subgroups”, Algebra and Logic, 23:5 (1984), 573–577 | DOI | MR | Zbl

[2] N.M. Suchkov, “On subgroups of the product of locally finite groups”, Algebra and Logic, 24:4 (1985), 408–413 | DOI | MR | Zbl

[3] N.M. Suchkov, N.G. Suchkova, “On groups of limited permutations”, Journal of Siberian Federal University, Mathematics and Physics, 3:2 (2010), 262–266

[4] N.M. Suchkov, N.G. Suchkova, “On normal subgroups of limited permutation groups”, Siberian Electronic Mathematical Reports, 12 (2015), 344–353 | MR | Zbl

[5] N.M. Suchkov, N.G. Suchkova, “On locally finite radical of the group of limited permutations”, Trudy Inst. Math. Mekh. UrO RAN, 22, no. 3, 2016, 259–264 | DOI | MR

[6] Yuri S. Tarasov, “On normal closures of involutions in the group of limited permutations”, Journal of Siberian Federal University, Mathematics and Physics, 9:3 (2016), 393–400 | DOI

[7] M. I. Kargapolov, Y. I. Merzlyakov, Foundation of group theory, “Nauka”, M., 1982 | MR