{"paper":{"title":"Note on residual finiteness of Artin groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Arye Juhasz, Luis Paris (IMB), Ruben Blasco-Garcia","submitted_at":"2017-09-25T15:09:01Z","abstract_excerpt":"Let $A$ be an Artin group. A partition $\\mathcal{P}$ of the set of standard generators of $A$ is called admissible if, for all $X,Y \\in \\mathcal{P}$, $X \\neq Y$, there is at most one pair  $(s,t) \\in X \\times Y$ which has a relation. An admissible partition $\\mathcal{P}$ determines a quotient Coxeter graph $\\Gamma/\\mathcal{P}$. We prove that, if $\\Gamma/\\mathcal{P}$ is either a forest or an even triangle free Coxeter graph and $A_X$ is residually finite for all $X \\in \\mathcal{P}$, then $A$ is residually finite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08538","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"}