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For any a subgroup $G$ of $\\rm{Aut}(\\mathcal{X})$ whose order is a power of an odd prime $d$ other than $p$, the bound proven by Zomorrodian for Riemann surfaces is $|G|\\leq 9(g-1)$ where the extremal case can only be obtained for $d=3$. We prove Zomorrodian's result for any $\\mat"},"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":"1810.07506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-10-17T12:54:54Z","cross_cats_sorted":[],"title_canon_sha256":"1292c7445a1378ce157c29371dec0d4c918248c0307013f2d27263595d0bb3d9","abstract_canon_sha256":"c39319c8d92601bf126bfd2fba9b71f696f3901ce445c07aada394bd11218cd3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:56.165442Z","signature_b64":"uJmfO7tjz+Cbn8lMFFB5klmtO633d+Wdi/HmCOU7mznhYs3u/qqCRrHe3Aa3qC/CfmdU98vRQ9DAjYn9NcryCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd6222bc89afb808fd64dd9ef9df98ee800a212233059cb205d43e591537d7a9","last_reissued_at":"2026-05-18T00:02:56.164764Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:56.164764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large odd prime power order automorphism groups of algebraic curves in any characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"G\\'abor Korchm\\'aros, Maria Montanucci","submitted_at":"2018-10-17T12:54:54Z","abstract_excerpt":"Let $\\mathcal{X}$ be a (projective, geometrically irreducible, nonsingular) algebraic curve of genus $g \\ge 2$ defined over an algebraically closed field $\\mathbb{K}$ of odd characteristic $p\\ge 0$, and let $\\rm{Aut}(\\mathcal{X})$ be the group of all automorphisms of $\\mathcal{X}$ which fix $\\mathbb{K}$ element-wise. For any a subgroup $G$ of $\\rm{Aut}(\\mathcal{X})$ whose order is a power of an odd prime $d$ other than $p$, the bound proven by Zomorrodian for Riemann surfaces is $|G|\\leq 9(g-1)$ where the extremal case can only be obtained for $d=3$. 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