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Artículo
Basic results on braid groups
(Université Blaise Pascal, 2011)
These are Lecture Notes of a course given by the author at the French-Spanish School Tresses in Pau, held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be ...
Artículo
On the structure of the centralizer of a braid
(Elsevier, 2004)
The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base points. We prove that the centralizer of any braid can be expressed in terms of semidirect and ...
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 ...