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 \( G \).
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References
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Funding
The authors were supported by the Russian Science Foundation (Grant no. 18–71–10007-P).
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Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 6, pp. 1327–1331. https://doi.org/10.33048/smzh.2023.64.615
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Suchkov, N.M., Shlepkin, A.A. On Locally Finite Subgroups in \( \operatorname{Lim}(N) \). Sib Math J 64, 1439–1442 (2023). https://doi.org/10.1134/S0037446623060150
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DOI: https://doi.org/10.1134/S0037446623060150