Non-cohérence de certains reseaux non-uniformes dans le groupe des isométries de l’espace hyperbolique
Self-embeddings of kleinian groups
Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups
We describe the kernel of the canonical map from the Floyd boundary of a relatively hyperbolic group to its Bowditch boundary. Using the Floyd completion we further prove that the property of relative hyperbolicity is invariant under quasi-isometric maps. If a finitely generated group admits a quasi-isometric map into a relatively hyperbolic group then is itself relatively hyperbolic with respect to a system of subgroups whose image under is situated within a uniformly bounded distance...
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