Asymptotic dimension of relatively hyperbolic groups

Details Asymptotic dimension of relatively hyperbolic groups Asymptotic dimension of relatively hyperbolic groups

2004-11-25

arxiv.org/abs/math/0411585v2

Mathematics

Group Theory

The proof of the main result is simplified, some misprints are corrected

Scientific paper

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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