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Embedding of two-colored right-angled Coxeter groups into products of two binary trees

Research paper by Alina Rull

Indexed on: 05 Jan '07Published on: 05 Jan '07Published in: Manuscripta Mathematica



Abstract

We prove that every finitely generated 2-colored right-angled Coxeter group Γ can be quasi-isometrically embedded into the product of two binary trees. Moreover we show that the natural extension of this embedding to n-colored groups is not for every group quasi-isometric.