Asymptotic dimension of relatively hyperbolic groups
classification
🧮 math.GR
keywords
asymptoticdimensionfinitehyperbolicsubgroupscollectionfinitelygenerated
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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.
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