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Asymptotic dimension of relatively hyperbolic groups

D. V. Osin
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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.

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D. V. Osin. 2005-05-04. Asymptotic dimension of relatively hyperbolic groups. https://arxiv.org/abs/math/0411585

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