Geodesic
Separable closed braids
Sbornik. Mathematics, Tome 60 (1988) no. 2, pp. 521-531

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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. 
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     author = {G. S. Makanin},
     title = {Separable closed braids},
     journal = {Sbornik. Mathematics},
     pages = {521--531},
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     volume = {60},
     number = {2},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1988_60_2_a16/}
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G. S. Makanin. Separable closed braids. Sbornik. Mathematics, Tome 60 (1988) no. 2, pp. 521-531. http://geodesic.mathdoc.fr/item/SM_1988_60_2_a16/