Geodesic
On subgroups of group $\mathrm{Lim}(N)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 208-217 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study a subgroups and chains of normal locally finite subgroups of limited permutation group $G=\mathrm{Lim}(N)$.
Mots-clés : group, complite dispersion set
Keywords: limited permutation, normal subgroup, locally finite subgroup, support. 
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A. I. Sozutov; N. M. Suchkov; N. G. Suchkova. On subgroups of group $\mathrm{Lim}(N)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 208-217. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a5/

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

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

[6] N.M. Suchkov, N.G. Suchkova, “Normal closures of elements in group $\mathrm{Lim}(N)$”, Siberian Electronic Mathematical Reports, 16 (2019), 158–164 | MR | Zbl

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