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

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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.

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Correspondence to Alina Rull.

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Partially supported by Swiss National Science Foundation.

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Rull, A. Embedding of two-colored right-angled Coxeter groups into products of two binary trees. manuscripta math. 122, 277–288 (2007). https://doi.org/10.1007/s00229-006-0067-x

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Mathematics Subject Classification (2000)

  • Primary 51F15
  • Secondary 20F55