Add to ORKGWe give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and automorphism and outer automorphism groups of free groups. MSC 20F67 (primary), 20F65 (secondary)
International audienceWe introduce the notions of geometric height and graded (geometric) relative h...
We prove that any finitely generated group which splits as a graph of free groups with cyclic edge g...
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...
We give a simple combinatorial criterion for a group that, when satisfied, implies that the group ca...
We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot ...
We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any qua...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
Abstract. We consider two families of subgroups of a group. Each subgroup which belongs to one famil...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
The usual definition of hyperbolicity of a group G demands that all geodesic triangles in the Cayley...
We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts...
AbstractWe characterize relatively hyperbolic groups whose reduced C∗-algebra is simple as those, wh...
We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which hav...
International audienceWe introduce the notions of geometric height and graded (geometric) relative h...
We prove that any finitely generated group which splits as a graph of free groups with cyclic edge g...
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...
We give a simple combinatorial criterion for a group that, when satisfied, implies that the group ca...
We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot ...
We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any qua...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
Abstract. We consider two families of subgroups of a group. Each subgroup which belongs to one famil...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
The usual definition of hyperbolicity of a group G demands that all geodesic triangles in the Cayley...
We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts...
AbstractWe characterize relatively hyperbolic groups whose reduced C∗-algebra is simple as those, wh...
We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which hav...
International audienceWe introduce the notions of geometric height and graded (geometric) relative h...
We prove that any finitely generated group which splits as a graph of free groups with cyclic edge g...
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...