M. Cumplido

activity

20172024

most citedOn parabolic subgroups of Artin-Tits groups of spherical type

29 citations · 50 across the 11 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.GR2019

The root extraction problem for generic braids

María Cumplido, Juan González-Meneses, Marithania Silvero

We show that, generically, finding the $k$ -th root of a braid is very fast. More precisely, we provide an algorithm which, given a braid $x$ on $n$ strands and canonical length $l$ …

math.GR2019★ 1 cited

Parabolic subgroups acting on the additional length graph

Yago Antolín, María Cumplido

Let $A \neq = A_{1}, A_{2}, I_{2 m}$ be an irreducible Artin--Tits group of spherical type. We show that periodic elements of $A$ and the elements preserving some parabolic subgroup of $A$ …

math.GR2019

Commensurability in Artin groups of spherical type

María Cumplido, Luis Paris

Let $A$ and $A^{'}$ be two Artin groups of spherical type, and let $A_{1}, \dots, A_{p}$ (resp. $A_{1}^{'}, \dots, A_{q}^{'}$ ) be the irreducible components of $A$ (resp. $A^{'}$ ). We show that $A$ and $A…