{"title":"On Locally Finite Subgroups in $ \\operatorname{Lim}(N) $","authors":"N. M. Suchkov, A. A. Shlepkin","doi":"10.1134/s0037446623060150","DOIUrl":null,"url":null,"abstract":"<p>Let <span>\\( G \\)</span> be the group of all limited permutations of the naturals <span>\\( N \\)</span>.\nWe prove that every countable locally finite group is isomorphic to a subgroup in <span>\\( G \\)</span>.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"8 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446623060150","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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 \( G \).
期刊介绍：
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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