Height, Graded Relative Hyperbolicity and Quasiconvexity - Archive ouverte HAL
Article Dans Une Revue Journal de l'École polytechnique — Mathématiques Année : 2017

Height, Graded Relative Hyperbolicity and Quasiconvexity

François Dahmani
Mahan Mj
  • Fonction : Auteur

Résumé

We introduce the notions of geometric height and graded (geometric) relative hyperbolicity in this paper. We use these to characterize quasiconvexity in hyperbolic groups, relative quasiconvexity in relatively hyperbolic groups, and convex cocompactness in mapping class groups and $Out(F_n)$.

Dates et versions

hal-01651844 , version 1 (29-11-2017)

Identifiants

Citer

François Dahmani, Mahan Mj. Height, Graded Relative Hyperbolicity and Quasiconvexity. Journal de l'École polytechnique — Mathématiques, 2017, 4, pp.515-556. ⟨10.5802/jep.50⟩. ⟨hal-01651844⟩
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