2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73380Suppose 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 correctedGroup Theory20F69, 20F67text