{"paper":{"title":"Euclidean simplices generating discrete reflection groups","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.MG","authors_text":"Anna Felikson, Pavel Tumarkin","submitted_at":"2005-02-05T12:14:42Z","abstract_excerpt":"Let $P$ be a convex polytope in the Euclidean space $\\E^n$.\n Consider the group $G_P$ generated by reflections in the facets of $P$. We say that $P$ {\\it generates a reflection group $G_P$}. In the present paper, we list all Euclidean simplices generating discrete reflection groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0502108","kind":"arxiv","version":1},"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"}