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Artículo
Twisted conjugacy in braid groups
(Springer, 2014)
In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids u, v ∈ Bn and an automorphism ϕ ∈ Aut(Bn), decides whether v = (ϕ(x))−1ux for some x ∈ Bn. As a ...
Artículo
Computation of centralizers in braid groups and Garside groups
(Consejo Superior de Investigaciones Científicas, 2003)
We give a new method to compute the centralizer of an element in Artin braid groups and, more generally, in Garside groups. This method, together with the solution of the conjugacy problem given by the authors in [9] ...