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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 6, Pages 1227–1232
DOI: https://doi.org/10.33048/smzh.2024.65.613 (Mi smj7921) 		 
On the existence of countable unlimited groups

N. M. Suchkov, A. A. Shlepkin, D. A. Taysnyov

Siberian Federal University, Krasnoyarsk, Russia
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DOI: https://doi.org/10.33048/smzh.2024.65.613
Abstract: Let $G$ be the group of all limited permutations of the naturals $\Bbb{N}$. In this paper, we prove that the additive group of the rationals is not isomorphic to a subgroup of $G$.
Keywords: group, limited permutation, limited group.
Funding agency Grant number
Russian Science Foundation 24-41-10004
The authors were supported by the Russian Science Foundation (Grant no. 24–41–10004).
Received: 07.07.2024
Revised: 28.08.2024
Accepted: 23.10.2024
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 6, Pages 1390–1394
DOI: https://doi.org/10.1134/S0037446624060132
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: N. M. Suchkov, A. A. Shlepkin, D. A. Taysnyov, “On the existence of countable unlimited groups”, Sibirsk. Mat. Zh., 65:6 (2024), 1227–1232; Siberian Math. J., 65:6 (2024), 1390–1394
Citation in format AMSBIB
\Bibitem{SucShlTay24}
\by N.~M.~Suchkov, A.~A.~Shlepkin, D.~A.~Taysnyov
\paper On the existence of countable unlimited groups
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 6
\pages 1227--1232
\mathnet{http://mi.mathnet.ru/smj7921}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 6
\pages 1390--1394
\crossref{https://doi.org/10.1134/S0037446624060132}
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