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Embedding of Coxeter groups in a product of trees

Alexander Dranishnikov·Viktor Schroeder
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Abstract

We prove that a right angled Coxeter group with chromatic number n can be embedded in a bilipschitz way into the product of n locally finite trees. We give applications of this result to various embedding problems and determine the hyperbolic rank of products of exponentially branching trees.

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Alexander Dranishnikov, Viktor Schroeder. 2004-02-24. Embedding of Coxeter groups in a product of trees. https://arxiv.org/abs/math/0402398

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