Quasi-isometry and commensurability for right-angled Coxeter groups

Anne Thomas (University of Glasgow)

Monday 11th November, 2013 16:00-17:00 Maths 204


A major theme in geometric group theory is to classify finitely generated groups up to quasi-isometry.  We consider certain right-angled Coxeter groups, and use Bowditch's JSJ decomposition of one-ended hyperbolic groups to determine the quasi-isometry classification of an infinite family.  Combined with a result of Crisp and Paoluzzi, it follows that quasi-isometry is stronger than commensurability for this class.  This is joint work with Pallavi Dani.

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