29 citations · 31 across the 7 of their papers we have counts for
5 papers · 1 filter
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 …
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…