Séance Séminaire

Séminaire Gaston Darboux

Quasi-isometric rigidity of a class of right angled Coxeter groups

Given any finite simplicial graph \Gamma with vertex set V and edge set E, the associated right angled Coxeter group (RACG) W(\Gamma) is defined by W(\Gamma)=. The classical examples are the reflection groups generated by the reflections about edges of right angled polygons (in the Euclidean plane or the hyperbolic plane). We classify a class of RACGs up to quasi-isometry. Theorem: Let \Gamma_1, \Gamma_2 be graph joins of finite thick generalized m-gons with m\ge 3. Then the right-angled Coxeter groups associated to \Gamma_1, \Gamma_2 are quasi-isometric if and only if \Gamma_1, \Gamma_2 are isomorphic. This is joint work with Jordan Bounds.