Algebra i logika
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


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i logika, 2018, Volume 57, Number 1, Pages 102–117
DOI: https://doi.org/10.17377/alglog.2018.57.106 (Mi al837) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Centralizer dimensions of partially commutative metabelian groups

E. I. Timoshenko

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092 Russia
Full-text PDF (189 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.17377/alglog.2018.57.106
Abstract: We establish an upper bound for the centralizer dimension of a partially commutative metabelian group that depends linearly on the number of vertices in a defining graph. It is proved that centralizer dimensions of $2$-generated metabelian groups are not bounded above. The exact value of the centralizer dimension is computed for a partially commutative metabelian group defined by a cycle.
Keywords: partially commutative metabelian group, centralizer dimension, defining graph.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00100
Supported by RFBR, project No. 18-01-00100.
Received: 28.03.2016
Revised: 10.03.2018
English version:
Algebra and Logic, 2018, Volume 57, Issue 1, Pages 69–80
DOI: https://doi.org/10.1007/s10469-018-9479-4
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Centralizer dimensions of partially commutative metabelian groups”, Algebra Logika, 57:1 (2018), 102–117; Algebra and Logic, 57:1 (2018), 69–80
Citation in format AMSBIB
\Bibitem{Tim18}
\by E.~I.~Timoshenko
\paper Centralizer dimensions of partially commutative metabelian groups
\jour Algebra Logika
\yr 2018
\vol 57
\issue 1
\pages 102--117
\mathnet{http://mi.mathnet.ru/al837}
\crossref{https://doi.org/10.17377/alglog.2018.57.106}
\transl
\jour Algebra and Logic
\yr 2018
\vol 57
\issue 1
\pages 69--80
\crossref{https://doi.org/10.1007/s10469-018-9479-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000433237600006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047123132}
Linking options:
  • https://www.mathnet.ru/eng/al837
  • https://www.mathnet.ru/eng/al/v57/i1/p102
    • 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
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :30
    References:26
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024