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, 2001, Volume 192, Issue 5, Pages 693–703
DOI: https://doi.org/10.1070/SM2001v192n05ABEH000564 (Mi sm564) 		 
This article is cited in 27 scientific papers (total in 27 papers)

On braid groups

T. V. Dubrovina, N. I. Dubrovin

Vladimir State University
English version PDF (161 kB) Citations (27)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2001v192n05ABEH000564
Abstract: Artin's braid groups are studied from the viewpoint of right-ordered groups. A right order is constructed such that the cone of elements $\geqslant 1$ is finitely generated as a monoid. The structure of ideals of this cone is determined, and it turns out to be quite specific and impossible for linearly ordered groups. It is also proved that no linear order on the pure braid subgroup can be extended to a right order on the whole of the braid group.
Received: 24.01.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 5, Pages 53–64
DOI: https://doi.org/10.4213/sm564
Bibliographic databases:
UDC: 512.8
MSC: Primary 20F36; Secondary 06F15, 20F60
Language: English
Original paper language: Russian
Citation: T. V. Dubrovina, N. I. Dubrovin, “On braid groups”, Mat. Sb., 192:5 (2001), 53–64; Sb. Math., 192:5 (2001), 693–703
Citation in format AMSBIB
\Bibitem{DubDub01}
\by T.~V.~Dubrovina, N.~I.~Dubrovin
\paper On braid groups
\jour Mat. Sb.
\yr 2001
\vol 192
\issue 5
\pages 53--64
\mathnet{http://mi.mathnet.ru/sm564}
\crossref{https://doi.org/10.4213/sm564}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1859702}
\zmath{https://zbmath.org/?q=an:1037.20036}
\transl
\jour Sb. Math.
\yr 2001
\vol 192
\issue 5
\pages 693--703
\crossref{https://doi.org/10.1070/SM2001v192n05ABEH000564}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000171221500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035538751}
Linking options:
  • https://www.mathnet.ru/eng/sm564
  • https://doi.org/10.1070/SM2001v192n05ABEH000564
  • https://www.mathnet.ru/eng/sm/v192/i5/p53
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:507
    Russian version PDF:220
    English version PDF:15
    References:50
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024