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.