4 papers
Conjugacy problem for subgroups with applications to Artin groups and braid type groups
Nuno Franco
Let be a group endowed with a solution to the conjugacy problem and with an algorithm which computes the centralizer in of any element of . Let be a subgroup of .…
On a theorem of Artin, II
Nuno Franco, Luis Paris
This paper is a sequel of [A.M. Cohen, L. Paris, {\it On a theorem of Artin}, J. Group Theory {\bf 6} (2003), 421--441]. Let be an Artin group, let be its associated Coxete…
Computation of Centralizers in Braid groups and Garside Groups
Nuno Franco, Juan Gonzalez-Meneses
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 conugacy…
Conjugacy problem for braid groups and Garside groups
Nuno Franco, Juan Gonzalez-Meneses
We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko and Lee. This algorithm can be applied not onl…