Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings

Details Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings

2005-04-28

arxiv.org/abs/math/0504566v1

Mathematics

Group Theory

Scientific paper

We prove that a finitely generated, right-angled, hyperbolic Coxeter group
can be quasiisometrically embedded into the product of n binary trees, where n
is the chromatic number of the group. As application we obtain certain strongly
aperiodic tilings of the Davis complex of these groups.

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