{"paper":{"title":"Quasi-isometric rigidity of a class of right-angled Coxeter groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Jordan Bounds, Xiangdong Xie","submitted_at":"2018-04-09T17:44:58Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03123","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}