Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (235 kB)
References:
PDF
HTML
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
The authors were supported by the Russian Science Foundation (Grant no. 18–71–10007-P).
Received: 02.03.2023
Revised: 27.04.2023
Accepted: 16.05.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 6, Pages 1439–1442
DOI: https://doi.org/10.1134/S0037446623060150
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; Siberian Math. J., 64:6 (2023), 1439–1442
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}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 6
\pages 1439--1442
\crossref{https://doi.org/10.1134/S0037446623060150}
Linking options:
  • https://www.mathnet.ru/eng/smj7832
  • https://www.mathnet.ru/eng/smj/v64/i6/p1327
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025