Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2018, Volume 209, Issue 6, Pages 850–856
DOI: https://doi.org/10.1070/SM8942 (Mi sm8942) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Verbally closed virtually free subgroups

Ant. A. Klyachko, A. M. Mazhuga

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (414 kB) Citations (10) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8942
Abstract: A theorem of Myasnikov and Roman'kov says that any verbally closed subgroup of a finitely generated free group is a retract. We prove that all free (and many virtually free) verbally closed subgroups are retracts in any finitely generated group.
Bibliography: 14 titles.
Keywords: verbally closed subgroups, algebraically closed subgroups, retracts.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05823-а
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 15-01-05823-a).
Received: 13.03.2017 and 04.07.2017
Bibliographic databases:
Document Type: Article
UDC: 512.543.7
MSC: Primary 20F70; Secondary 20E05, 20E08
Language: English
Original paper language: Russian
Citation: Ant. A. Klyachko, A. M. Mazhuga, “Verbally closed virtually free subgroups”, Sb. Math., 209:6 (2018), 850–856
Citation in format AMSBIB
\Bibitem{KlyMaz18}
\by Ant.~A.~Klyachko, A.~M.~Mazhuga
\paper Verbally closed virtually free subgroups
\jour Sb. Math.
\yr 2018
\vol 209
\issue 6
\pages 850--856
\mathnet{http://mi.mathnet.ru//eng/sm8942}
\crossref{https://doi.org/10.1070/SM8942}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3807907}
\zmath{https://zbmath.org/?q=an:1452.20041}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2018SbMat.209..850K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000441840600005}
\elib{https://elibrary.ru/item.asp?id=34940686}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85032995380}
Linking options:
  • https://www.mathnet.ru/eng/sm8942
  • https://doi.org/10.1070/SM8942
  • https://www.mathnet.ru/eng/sm/v209/i6/p75
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1131
    Russian version PDF:59
    English version PDF:24
    References:57
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024