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Mathematics of the USSR-Sbornik, 1988, Volume 60, Issue 2, Pages 521–531
DOI: https://doi.org/10.1070/SM1988v060n02ABEH003184 (Mi sm1899) 		 
Separable closed braids

G. S. Makanin
English version PDF (591 kB) (1)
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DOI: https://doi.org/10.1070/SM1988v060n02ABEH003184
Abstract: The structure of separable closed braids is described. It is proved that for every separable braid with $n+1$ threads and length of expression $d$ one can indicate an equivalent separated closed braid whose length of expression does not exceed $(d+2)(n+1)n$.
Bibliography: 3 titles.
Received: 31.05.1984 and 11.06.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1987, Volume 132(174), Number 4, Pages 531–540
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20F36
Language: English
Original paper language: Russian
Citation: G. S. Makanin, “Separable closed braids”, Mat. Sb. (N.S.), 132(174):4 (1987), 531–540; Math. USSR-Sb., 60:2 (1988), 521–531
Citation in format AMSBIB
\Bibitem{Mak87}
\by G.~S.~Makanin
\paper Separable closed braids
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 132(174)
\issue 4
\pages 531--540
\mathnet{http://mi.mathnet.ru/sm1899}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=886644}
\zmath{https://zbmath.org/?q=an:0713.20028}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 60
\issue 2
\pages 521--531
\crossref{https://doi.org/10.1070/SM1988v060n02ABEH003184}
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  • https://www.mathnet.ru/eng/sm/v174/i4/p531
    • This publication is cited in the following 1 articles:
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    Abstract page:258
    Russian version PDF:86
    English version PDF:3
    References:36
     
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