1 citations · 1 across the 1 of their papers we have counts for
5 papers
Euclidean Artin-Tits groups are acylindrically hyperbolic
Matthieu Calvez
In this paper we show the statement in the title. To any Garside group of finite type, Wiest and the author associated a hyperbolic graph called the \emph{additional length graph}…
Curve graphs for Artin-Tits groups of type , and are hyperbolic
Matthieu Calvez, Bruno A. Cisneros de la Cruz
The \emph{graph of irreducible parabolic subgroups} is a combinatorial object associated to an Artin-Tits group defined so as to coincide with the curve graph of the -ti…
Hyperbolicity of the complex of parabolic subgroups of Artin-Tits groups of type
Matthieu Calvez
We show that the complex of parabolic subgroups associated to the Artin-Tits group of type is hyperbolic
Hyperbolic structures for Artin-Tits groups of spherical type
Matthieu Calvez, Bert Wiest
The goal of this mostly expository paper is to present several candidates for hyperbolic structures on irreducible Artin-Tits groups of spherical type and to elucidate some relatio…
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…