Embedding of Coxeter groups in a product of trees

Details Embedding of Coxeter groups in a product of trees Embedding of Coxeter groups in a product of trees

2004-02-24

arxiv.org/abs/math/0402398v1

Mathematics

Group Theory

16 pages

Scientific paper

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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