Asymptotic dimension of relatively hyperbolic groups
D. V. Osin
math.GRarXiv:math/0411585
Abstract
Suppose that a finitely generated group G is hyperbolic relative to a collection of subgroups \H1, ..., Hm\ . We prove that if each of the subgroups H1, ..., Hm has finite asymptotic dimension, then asymptotic dimension of G is also finite.
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