QUASI-ISOMETRIC RIGIDITY OF A CLASS OF RIGHT-ANGLED COXETER GROUPS

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY(2020)

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摘要
We establish quasi-isometric rigidity for a class of right-angled Coxeter groups. Let Gamma(1), Gamma(2) be joins of finite thick generalized m-gons with m is an element of {3, 4, 6, 8}. 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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