{"paper":{"title":"Injectivity on the set of conjugacy classes of some monomorphisms between Artin groups","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Eon-Kyung Lee, Sang-Jin Lee","submitted_at":"2008-02-16T05:28:14Z","abstract_excerpt":"There are well-known monomorphisms between the Artin groups of finite type $\\arA_n$, $\\arB_n=\\arC_n$ and affine type $\\tilde \\arA_{n-1}$, $\\tilde\\arC_{n-1}$. The Artin group $A(\\arA_n)$ is isomorphic to the $(n+1)$-strand braid group $B_{n+1}$, and the other three Artin groups are isomorphic to some subgroups of $B_{n+1}$. The inclusions between these subgroups yield monomorphisms $A(\\arB_n)\\to A(\\arA_n)$, $A(\\tilde \\arA_{n-1})\\to A(\\arB_n)$ and $A(\\tilde \\arC_{n-1})\\to A(\\arB_n)$. There are another type of monomorphisms $A(\\arB_d)\\to A(\\arA_{md-1})$, $A(\\arB_d)\\to A(\\arB_{md})$ and $A(\\arB_d)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2314","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"}