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arXiv · 1804.03123

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

Jordan Bounds·Xiangdong Xie
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Abstract

We establish quasi-isometric rigidity for a class of right-angled Coxeter groups. Let $\Gamma_1,\Gamma_2$ be joins of finite generalized thick $m$-gons with $m\geq 3$. We show that the corresponding right-angled Coxeter groups are quasi-isometric if and only if $\Gamma_1,\Gamma_2$ are isomorphic. We also give a construction of commensurable right-angled Coxeter groups.

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Jordan Bounds, Xiangdong Xie. 2018-04-09. Quasi-isometric rigidity of a class of right-angled Coxeter groups. https://arxiv.org/abs/1804.03123

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