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, 2013, Volume 204, Issue 2, Pages 223–236
DOI: https://doi.org/10.1070/SM2013v204n02ABEH004298 (Mi sm7908) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup

A. O. Zakharov

Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (429 kB) Citations (2) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2013v204n02ABEH004298
Abstract: We generalize the estimate for the rank of intersection of subgroups in free products of groups, proved earlier by Ivanov and Dicks (which is analogous to the Hanna Neumann inequality in free groups) to the case of free amalgamated products of groups with normal finite amalgamated subgroup. We also prove that the estimate obtained is sharp and cannot be further improved when the amalgamated product contains an involution.
Bibliography: 11 titles.
Keywords: amalgamated free products, Hanna Neumann inequality.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00945
Received: 06.07.2011 and 22.09.2012
Bibliographic databases:
Document Type: Article
UDC: 512.543.5
MSC: Primary 20E06; Secondary 20F06
Language: English
Original paper language: Russian
Citation: A. O. Zakharov, “An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup”, Sb. Math., 204:2 (2013), 223–236
Citation in format AMSBIB
\Bibitem{Zak13}
\by A.~O.~Zakharov
\paper An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup
\jour Sb. Math.
\yr 2013
\vol 204
\issue 2
\pages 223--236
\mathnet{http://mi.mathnet.ru/eng/sm7908}
\crossref{https://doi.org/10.1070/SM2013v204n02ABEH004298}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3087098}
\zmath{https://zbmath.org/?q=an:06197062}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013SbMat.204..223Z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317574500004}
\elib{https://elibrary.ru/item.asp?id=19066619}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876530245}
Linking options:
  • https://www.mathnet.ru/eng/sm7908
  • https://doi.org/10.1070/SM2013v204n02ABEH004298
  • https://www.mathnet.ru/eng/sm/v204/i2/p73
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025