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Diskretnaya Matematika, 2001, Volume 13, Issue 2, Pages 35–88
DOI: https://doi.org/10.4213/dm284 (Mi dm284) 		 
This article is cited in 3 scientific papers (total in 4 papers)

Parametrization of solutions of the equation $x^{-1}y^{-1}xyz^{-1}v^{-1}zv=1$ in a free group

G. S. Makanin
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DOI: https://doi.org/10.4213/dm284
Abstract: A finite parametrisation of the set of all solutions of the equation
$$ x^{-1}y^{-1}xyz^{-1}v^{-1}zv=1 $$
in a finite group is given. This equation is closely related to the Poincare conjecture. The parametrising functions depend on word variables, natural variables, and variables, whose values are sequences of natural variables.
This research was supported by the Russian Foundation of Basic Research, grant 01–01–00027.
Received: 08.07.1999
Bibliographic databases:
Document Type: Article
UDC: 512.4
Language: Russian
Citation: G. S. Makanin, “Parametrization of solutions of the equation $x^{-1}y^{-1}xyz^{-1}v^{-1}zv=1$ in a free group”, Diskr. Mat., 13:2 (2001), 35–88; Discrete Math. Appl., 11:3 (2001), 235–290
Citation in format AMSBIB
\Bibitem{Mak01}
\by G.~S.~Makanin
\paper Parametrization of solutions of the equation $x^{-1}y^{-1}xyz^{-1}v^{-1}zv=1$ in a free group
\jour Diskr. Mat.
\yr 2001
\vol 13
\issue 2
\pages 35--88
\mathnet{http://mi.mathnet.ru/dm284}
\crossref{https://doi.org/10.4213/dm284}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857726}
\zmath{https://zbmath.org/?q=an:1062.20026}
\transl
\jour Discrete Math. Appl.
\yr 2001
\vol 11
\issue 3
\pages 235--290
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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