Asymptotic dimension of relatively hyperbolic groups

Abstract

Suppose that a finitely generated group $G$ is hyperbolic relative to a collection of subgroups $\{H_1,...,H_m\}$. We prove that if each of the subgroups $H_1,...,H_m$ has finite asymptotic dimension, then asymptotic dimension of $G$ is also finite.

The proof of the main result is simplified, some misprints are corrected

Cited by in corpus (4)

• A simple criterion for non-relative hyperbolicity and one-endedness of groups
• Bounded geometry in relatively hyperbolic groups
• Uniform embeddability of relatively hyperbolic groups
• Boundary Amenability of Relatively Hyperbolic Groups