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A product of trees as universal space for hyperbolic groups

Sergei Buyalo·Viktor Schroeder
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Abstract

We show that every Gromov hyperbolic group $\Ga$ admits a quasi-isometric embedding into the product of $(n+1)$ binary trees, where $n=\dim\di\Ga$ is the topological dimension of the boundary at infinity of $\Ga$.

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Sergei Buyalo, Viktor Schroeder. 2005-09-15. A product of trees as universal space for hyperbolic groups. https://arxiv.org/abs/math/0509355

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