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Matematicheskie Zametki, 2001, Volume 70, Issue 4, Pages 591–602
DOI: https://doi.org/10.4213/mzm771 (Mi mzm771) 		 
This article is cited in 3 scientific papers (total in 4 papers)

An Equation in a Free Group Defining Pure Braids

G. S. Makanin, A. G. Savushkina

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (197 kB) Citations (4)
References:
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DOI: https://doi.org/10.4213/mzm771
Abstract: A description of the general solution of the equation
$$ x_1^{-1}a_1x_1x_2^{-1}a_2x_2\dots x_n^{-1}a_nx_n =a_1a_2\dots a_n $$
in a free group is given.
Received: 07.05.1998
Revised: 28.12.1999
English version:
Mathematical Notes, 2001, Volume 70, Issue 4, Pages 535–544
DOI: https://doi.org/10.1023/A:1012337021304
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: G. S. Makanin, A. G. Savushkina, “An Equation in a Free Group Defining Pure Braids”, Mat. Zametki, 70:4 (2001), 591–602; Math. Notes, 70:4 (2001), 535–544
Citation in format AMSBIB
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\by G.~S.~Makanin, A.~G.~Savushkina
\paper An Equation in a Free Group Defining Pure Braids
\jour Mat. Zametki
\yr 2001
\vol 70
\issue 4
\pages 591--602
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\crossref{https://doi.org/10.4213/mzm771}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1884196}
\zmath{https://zbmath.org/?q=an:1033.20036}
\transl
\jour Math. Notes
\yr 2001
\vol 70
\issue 4
\pages 535--544
\crossref{https://doi.org/10.1023/A:1012337021304}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172164200027}
Linking options:
  • https://www.mathnet.ru/eng/mzm771
  • https://doi.org/10.4213/mzm771
  • https://www.mathnet.ru/eng/mzm/v70/i4/p591
    • This publication is cited in the following 4 articles:
    1. S. I. Adian, “On the studies of Gennadii Semënovich Makanin on algorithmic questions of the theory of groups and semigroups”, Russian Math. Surveys, 73:3 (2018), 553–568  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. G. S. Makanin, “Parametrization of the Solutions of the Equation $x_1x_2\dots x_{n-1}x_n=x_nx_{n-1}\dots x_2x_1$ in a Free Monoid”, Math. Notes, 89:6 (2011), 839–844  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. G. S. Makanin, “Finite parametrization of solutions of equations in a free monoid. II”, Sb. Math., 195:4 (2004), 521–552  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. G. S. Makanin, “Finite parametrization of solutions of equations in a free monoid. I”, Sb. Math., 195:2 (2004), 187–235  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :197
    References:75
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