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Artículo
On reduction curves and Garside properties of braids
(American Mathematical Society, 2011)
In this paper we study the reduction curves of a braid, and how they can be used to decompose the braid into simpler ones in a precise way, which does not correspond exactly to the decomposition given by Thurston theory. ...
Artículo
The nth root of a braid is unique up to conjugacy
(Mathematical Sciences Publishers, 2003-11-01)
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification ...