3 papers
math.GR2019
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 …
math.GR2018
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…
math.GR2018
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…