Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2002, Volume 72, Issue 1, Pages 84–93
DOI: https://doi.org/10.4213/mzm406 (Mi mzm406) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Elementary Classes of Groups

D. V. Osin

Budget and Treasury Academy, Ministry of Finance of the Russian Federation
Full-text PDF (219 kB) Citations (17)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm406
Abstract: Let $B$ be a class of groups. The elementary class with base $B$ is defined as the minimal class of groups containing $B$ and closed with respect to taking subgroups, quotient groups, group extensions, and direct limits. Properties of such classes are studied. Some applications to the theory of elementary amenable groups and a relation to the Kurosh–Chernikov classes of generalized solvable groups are considered.
Received: 22.10.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 1, Pages 75–82
DOI: https://doi.org/10.1023/A:1019869105364
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: D. V. Osin, “Elementary Classes of Groups”, Mat. Zametki, 72:1 (2002), 84–93; Math. Notes, 72:1 (2002), 75–82
Citation in format AMSBIB
\Bibitem{Osi02}
\by D.~V.~Osin
\paper Elementary Classes of Groups
\jour Mat. Zametki
\yr 2002
\vol 72
\issue 1
\pages 84--93
\mathnet{http://mi.mathnet.ru/mzm406}
\crossref{https://doi.org/10.4213/mzm406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1942584}
\zmath{https://zbmath.org/?q=an:1068.20034}
\transl
\jour Math. Notes
\yr 2002
\vol 72
\issue 1
\pages 75--82
\crossref{https://doi.org/10.1023/A:1019869105364}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178299100008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141513962}
Linking options:
  • https://www.mathnet.ru/eng/mzm406
  • https://doi.org/10.4213/mzm406
  • https://www.mathnet.ru/eng/mzm/v72/i1/p84
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024