1 citations · 1 across the 2 of their papers we have counts for
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Conjugacy invariants and rigidity in Garside groups: a uniformity phenomenon
Matthieu Calvez, Owen Garnier, Juan González-Meneses +1
Consider an element~ of a Garside group which is rigid in the sense of Garside-theory. Let be the set of rigid conjugates of~ -- this is a well-known characteristic s…
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
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…