1 citations · 2 across the 3 of their papers we have counts for
8 papers
The root extraction problem in braid group-based cryptography
María Cumplido, Delaram Kahrobaei, Marialaura Noce
The root extraction problem in braid groups is the following: given a braid and a number , find such that . In the…
Parabolic subgroups of large-type Artin groups
María Cumplido, Alexandre Martin, Nicolas Vaskou
We show that the geometric realisation of the poset of proper parabolic subgroups of a large-type Artin group has a systolic geometry. We use this geometry to show that the set of…
A new family of infinitely braided Thompson's groups
Julio Aroca, María Cumplido
We present a generalization of the Dehornoy-Brin braided Thompson group that uses recursive braids. Our new groups are denoted by , for all an…
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 …
Commensurability in Artin groups of spherical type
María Cumplido, Luis Paris
Let and be two Artin groups of spherical type, and let (resp. ) be the irreducible components of (resp. ). We show that and $A…
Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
Matthieu Calvez, Bruno Cisneros, María Cumplido
We give a complete classification of conjugacy stable parabolic subgroups of Artin-Tits groups of spherical type. This answers a question posed by Ivan Marin and generalizes a theo…