A product of trees as universal space for hyperbolic groups

Details A product of trees as universal space for hyperbolic groups A product of trees as universal space for hyperbolic groups

2005-09-15

arxiv.org/abs/math/0509355v1

Mathematics

Group Theory

35 pages, 2 figures

Scientific paper

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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