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We show that every connected algebraic group $G$ (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on $\\dim \\, G$, and that the full automorphism group $Aut(X)$ of every projective variety $X$ has the Jordan property"},"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":"1507.02230","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-08T17:24:41Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"2bcd2286ba28e3cddeaaee32efcf50baf9371d05ea03300556172973381e2145","abstract_canon_sha256":"bdd357b4df62cc24bd6d1c5988f8c5b64b68646adac7f3cdcc015b61e8f350cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:01.704173Z","signature_b64":"cFVwjdXJ34lpMdcbsmwL3XDo/4uzy55EMniTVmfFXrchNK170oESkOBwRRjFUjDzWP2JLQCNn25wxVE6iL/PCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f66ab017920896805d1735668919ec1faf5b0d0c5c7406b034a2281d001a855","last_reissued_at":"2026-05-17T23:53:01.703550Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:01.703550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jordan property for non-linear algebraic groups and projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"De-Qi Zhang, Sheng Meng","submitted_at":"2015-07-08T17:24:41Z","abstract_excerpt":"A century ago, Camille Jordan proved that the complex general linear group $GL_n(C)$ has the Jordan property: there is a Jordan constant $C_n$ such that every finite subgroup $H \\le GL_n(C)$ has an abelian subgroup $H_1$ of index $[H : H_1] \\le C_n$. 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