1 citations · 1 across the 3 of their papers we have counts for
9 papers
On the structure of the centralizer of a braid
Juan Gonzalez-Meneses, Bert Wiest
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 expre…
Improving an algorithm to solve Multiple Simultaneous Conjugacy Problems in braid groups
Juan Gonzalez-Meneses
There are recent cryptographic protocols that are based on Multiple Simultaneous Conjugacy Problems in braid groups. We improve an algorithm, due to Sang Jin Lee and Eonkyung Lee,…
On the singular braid monoid of an orientable surface
Jeronimo Diaz-Cantos, Juan Gonzalez-Meneses, Jose M. Tornero
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
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…
Presentations for the monoids of singular braids on closed surfaces
Juan Gonzalez-Meneses
We give presentations, in terms of generators and relations, for the monoids of singular braids on closed surfaces. The proof of the validity of these presentations can also be app…
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…