Diskretnaya Matematika
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


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




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

Diskretnaya Matematika, 2005, Volume 17, Issue 3, Pages 123–145
DOI: https://doi.org/10.4213/dm122 (Mi dm122) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Solution of the generalized conjugacy problem for words in Coxeter groups of large type

V. N. Bezverkhnii, I. V. Dobrynina
Full-text PDF (2457 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.4213/dm122
Abstract: For a Coxeter group of large type, we give a solution of the generalised conjugacy problem for words: it is proved that the centraliser of a finitely generated subgroup is finitely generated and there exists an algorithm which yields its generators. It is shown that in the general case the centraliser of a finitely generated group is not cyclic. We construct an example of a group of this class which is not a hyperbolic group.
This research was supported by the Ministry of Education of the Russian Federation, grant 02–1.1–209.
Received: 14.10.2003
English version:
Discrete Mathematics and Applications, 2005, Volume 15, Issue 6, Pages 611–634
DOI: https://doi.org/10.1515/156939205774939380
Bibliographic databases:
UDC: 512.8
Language: Russian
Citation: V. N. Bezverkhnii, I. V. Dobrynina, “Solution of the generalized conjugacy problem for words in Coxeter groups of large type”, Diskr. Mat., 17:3 (2005), 123–145; Discrete Math. Appl., 15:6 (2005), 611–634
Citation in format AMSBIB
\Bibitem{BezDob05}
\by V.~N.~Bezverkhnii, I.~V.~Dobrynina
\paper Solution of the generalized conjugacy problem for words in Coxeter groups of large type
\jour Diskr. Mat.
\yr 2005
\vol 17
\issue 3
\pages 123--145
\mathnet{http://mi.mathnet.ru/dm122}
\crossref{https://doi.org/10.4213/dm122}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2195657}
\zmath{https://zbmath.org/?q=an:1106.20025}
\elib{https://elibrary.ru/item.asp?id=9135446}
\transl
\jour Discrete Math. Appl.
\yr 2005
\vol 15
\issue 6
\pages 611--634
\crossref{https://doi.org/10.1515/156939205774939380}
Linking options:
  • https://www.mathnet.ru/eng/dm122
  • https://doi.org/10.4213/dm122
  • https://www.mathnet.ru/eng/dm/v17/i3/p123
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
    Statistics & downloads:
    Abstract page:517
    Full-text PDF :270
    References:50
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024