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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 6, Pages 1327–1331
DOI: https://doi.org/10.33048/smzh.2023.64.615 (Mi smj7832) 		 
On locally finite subgroups in $\operatorname{Lim}(N)$

N. M. Suchkov, A. A. Shlepkin

Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.33048/smzh.2023.64.615
Abstract: Let $G$ be the group of all limited permutations of the naturals $N$. We prove that every countable locally finite group is isomorphic to a subgroup in $G$.
Keywords: group, limited permutation, locally finite group, regular representation.
Funding agency Grant number
Russian Science Foundation 18-71-10007-П
Received: 02.03.2023
Revised: 27.04.2023
Accepted: 16.05.2023
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: N. M. Suchkov, A. A. Shlepkin, “On locally finite subgroups in $\operatorname{Lim}(N)$”, Sibirsk. Mat. Zh., 64:6 (2023), 1327–1331
Citation in format AMSBIB
\Bibitem{SucShl23}
\by N.~M.~Suchkov, A.~A.~Shlepkin
\paper On~locally finite subgroups in~$\operatorname{Lim}(N)$
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 6
\pages 1327--1331
\mathnet{http://mi.mathnet.ru/smj7832}
\crossref{https://doi.org/10.33048/smzh.2023.64.615}
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    		Сибирский математический журнал Siberian Mathematical Journal
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