Séminaire Gaston Darboux :
Le 18 octobre 2019 à 11:15 - salle 430
Présentée par Xie Xiangdong - Bowling Green State Univ.
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.
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