Embedding of Coxeter groups in a product of trees

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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.
16 pages

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Group Theory, Metric Geometry, 20F55;20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/70265

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402398
 http://arxiv.org/abs/math/0402398

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arXiv