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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)"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0802.2314","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.GT","submitted_at":"2008-02-16T05:28:14Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"cf852a51628ec2158e555d7fa5595a59544150d7d3bf16e48341f0fb5217f7ac","abstract_canon_sha256":"a8dfab06507089350a26e2a55586dadfb834754e86e4bddcb762604aa19c4db3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:35.409501Z","signature_b64":"D9bDNTnpfJEtFqVaXfY0YdMUwsnpb7eAXRS4C5UtVIGbsROsvJ4614flJsokfm3nI5uuxc0amyHxLe3Ahi4JAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e501252aa9a92ea9fb81d5abe304ed9113daaadffc07eb5a16d8de1c3a99b03e","last_reissued_at":"2026-05-18T04:09:35.409026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:35.409026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $A(\\tilde \\arC_{n-1})\\to A(\\arB_n)$. 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