On normal closures of involutions in the group of limited permutations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 3, pp. 393-400.

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We study the group $G=Lim(N)$ of limited permutations of a set $N$ of all natural numbers. Found the link between the dispersion subsets of a set $N$ and normal subgroups of $G$.
Keywords: limited permutation, normal subgroup, involution.
Mots-clés : group, dispersion set
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Yuri S. Tarasov. On normal closures of involutions in the group of limited permutations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 3, pp. 393-400. http://geodesic.mathdoc.fr/item/JSFU_2016_9_3_a14/

[1] N. M. Suchkov, “An example of a mixed group factorized by two periodic subgroups”, Algebra i Logika, 23:5 (1984), 385–387 (in Russian) | DOI | MR | Zbl

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

[3] N. M. Suchkov, “On the group of limited permutations”, Konstruktsii v algebre i logike, Tver', 1990, 84–89 (in Russian) | MR

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

[5] N. M. Suchkov, N. G. Suchkova, “Normal subgroups of limited permutation groups”, Siberskie electronnnye matematich. izvestiya, 12 (2015), 344–353 (in Russian) | Zbl

[6] M. I. Kargapolov, Y. I. Merzlyakov, Fundamentals of the theory of groups, Springer-Verlag, New York, 1979 | MR | Zbl