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, 2013, Volume 93, Issue 4, Pages 483–491
DOI: https://doi.org/10.4213/mzm8971 (Mi mzm8971) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Residual Finiteness of Free Products of Solvable Minimax Groups with Cyclic Amalgamated Subgroups

D. N. Azarov

Ivanovo State University
Full-text PDF (432 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8971
Abstract: A necessary and sufficient condition for the residual finiteness of a (generalized) free product of two residually finite solvable-by-finite minimax groups with cyclic amalgamated subgroups is obtained. This generalizes the well-known Dyer theorem claiming that every free product of two polycyclic-by-finite groups with cyclic amalgamated subgroups is a residually finite group.
Keywords: residually finite group, (generalized) free product with amalgamated subgroups, polycyclic-by-finite group, minimax group, solvable group, subnormal series, Chernikov group, Fitting subgroup, FATR group.
Received: 17.01.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 4, Pages 503–509
DOI: https://doi.org/10.1134/S0001434613030188
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: D. N. Azarov, “On the Residual Finiteness of Free Products of Solvable Minimax Groups with Cyclic Amalgamated Subgroups”, Mat. Zametki, 93:4 (2013), 483–491; Math. Notes, 93:4 (2013), 503–509
Citation in format AMSBIB
\Bibitem{Aza13}
\by D.~N.~Azarov
\paper On the Residual Finiteness of Free Products of Solvable Minimax Groups with Cyclic Amalgamated Subgroups
\jour Mat. Zametki
\yr 2013
\vol 93
\issue 4
\pages 483--491
\mathnet{http://mi.mathnet.ru/mzm8971}
\crossref{https://doi.org/10.4213/mzm8971}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3205997}
\zmath{https://zbmath.org/?q=an:1272.20030}
\elib{https://elibrary.ru/item.asp?id=20731706}
\transl
\jour Math. Notes
\yr 2013
\vol 93
\issue 4
\pages 503--509
\crossref{https://doi.org/10.1134/S0001434613030188}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317986600018}
\elib{https://elibrary.ru/item.asp?id=20437111}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876455022}
Linking options:
  • https://www.mathnet.ru/eng/mzm8971
  • https://doi.org/10.4213/mzm8971
  • https://www.mathnet.ru/eng/mzm/v93/i4/p483
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:552
    Full-text PDF :142
    References:37
    First page:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024