29 citations · 31 across the 7 of their papers we have counts for
8 papers
Parabolic subgroups of complex braid groups
Juan González-Meneses, Ivan Marin
In this paper we introduce a class of `parabolic' subgroups for the generalized braid group associated to an arbitrary irreducible complex reflection group, which maps onto the col…
The root extraction problem for generic braids
María Cumplido, Juan González-Meneses, Marithania Silvero
We show that, generically, finding the -th root of a braid is very fast. More precisely, we provide an algorithm which, given a braid on strands and canonical length …
Limits of sequences of pseudo-Anosov maps and of hyperbolic 3-manifolds
Sylvain Bonnot, André de Carvalho, Juan González-Meneses +1
There are two objects naturally associated with a braid of pseudo-Anosov type: a (relative) pseudo-Anosov homeomorphism ; and the finite volume com…
On lexicographic representatives in braid monoids
Ramón Flores, Juan González-Meneses
The language of maximal lexicographic representatives of elements in the positive braid monoid with generators is a regular language. We describe with great detail the sm…
On the growth of Artin--Tits monoids and the partial theta function
Ramón Flores, Juan González-Meneses
We present a new procedure to determine the growth function of a homogeneous Garside monoid, with respect to the finite generating set formed by the atoms. In particular, we presen…
On parabolic subgroups of Artin-Tits groups of spherical type
María Cumplido, Volker Gebhardt, Juan González-Meneses +1
We show that, in an Artin-Tits group of spherical type, the intersection of two parabolic subgroups is a parabolic subgroup. Moreover, we show that the set of parabolic subgroups f…
Classifying spaces for the family of virtually cyclic subgroups of braid groups
Ramón Flores, Juan González-Meneses
We prove that, for , the minimal dimension of a model of the classifying space of the full braid group , and of the pure braid group , with respect to the family…
Closures of positive braids and the Morton-Franks-Williams inequality
Juan González-Meneses, Pedro M. G. Manchón
We study the Morton-Franks-Williams inequality for closures of simple braids (also known as positive permutation braids). This allows to prove, in a simple way, that the set of sim…