29 citations · 50 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
On the minimal positive standardizer of a parabolic subgroup of an Artin-Tits group
María Cumplido
The minimal standardizer of a curve system on a punctured disk is the minimal braid that transforms it into a system formed only by round curves. We give an algorithm to compute it…
On the loxodromic actions of Artin-Tits groups
María Cumplido
Artin-Tits groups act on a certain delta-hyperbolic complex, called the "additional length complex". For an element of the group, acting loxodromically on this complex is a propert…
A positive proportion of elements of mapping class groups is pseudo-Anosov
María Cumplido, Bert Wiest
In the Cayley graph of the mapping class group of a closed surface, with respect to any generating set, we look at a ball of large radius centered on the identity vertex, and at th…