Asymptotic dimension of relatively hyperbolic groups

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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

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Group Theory, 20F69, 20F67

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http://salesiana.dossiersoluciones.com/handle/123456789/73380

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411585
 http://arxiv.org/abs/math/0411585

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arXiv