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

2018/04/09 by Bounds, Jordan, Xie, Xiangdong
#20F65 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1804.03123

Abstract

We establish quasi-isometric rigidity for a class of right-angled Coxeter groups. Let Γ₁,Γ₂ be joins of finite generalized thick m-gons with m≥ 3. We show that the corresponding right-angled Coxeter groups are quasi-isometric if and only if Γ₁,Γ₂ are isomorphic. We also give a construction of commensurable right-angled Coxeter groups.

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