Geodesic
On the locally finite radical of the group of limited permutations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 259-264 Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe the locally finite radical $R$ of the group $G=$Lim$(N)$ of limited permutations on the set of natural numbers $\mathbb{N}$. The connection between completely dispersed subsets of $\mathbb{N}$ and elements of $R$ is found.
Mots-clés : group
Keywords: limited permutation, completely dispersed set, locally finite radical. 
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N. M. Suchkov; N. G. Suchkova. On the locally finite radical of the group of limited permutations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 259-264. http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a26/

[1] Suchkov N.M., “Primer smeshannoi gruppy, faktorizuemoi dvumya periodicheskimi podgruppami”, Algebra i logika, 23:5 (1984), 573–577 | MR | Zbl

[2] Suchkov N.M., “O podgruppakh proizvedeniya lokalno konechnykh grupp”, Algebra i logika, 24:4 (1985), 408–413 | MR | Zbl

[3] Suchkov N.M., “O gruppe ogranichennykh perestanovok”, Konstruktsii v algebre i logike, sb. nauch. tr., Izd-vo TGU, Tver, 1990, 84–89 | MR

[4] Suchkov N.M., Suchkova N.G., “O gruppakh ogranichennykh podstanovok”, Zhurn. Sib. federal. un-ta, 3:2 (2010), 262–266

[5] Suchkov N.M., Suchkova N.G., “O normalnykh podgruppakh grupp ogranichennykh podstanovok”, Sib. elektron. mat. izv., 12 (2015), 344–355

[6] Kargapolov M.I., Merzlyakov Yu.I., Osnovy teorii grupp, Nauka, M., 1982, 288 pp. | MR