{"paper":{"title":"Finite quasisimple groups acting on rationally connected threefolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander Duncan, Ivan Cheltsov, J\\'er\\'emy Blanc, Yuri Prokhorov","submitted_at":"2018-09-24T21:13:29Z","abstract_excerpt":"We show that the only finite quasi-simple non-abelian groups that can faithfully act on rationally connected threefolds are the following groups: $\\mathfrak{A}_5$, $\\operatorname{PSL}_2(\\mathbf{F}_7)$, $\\mathfrak{A}_6$, $\\operatorname{SL}_2(\\mathbf{F}_8)$, $\\mathfrak{A}_7$, $\\operatorname{PSp}_4(\\mathbf{F}_3)$, $\\operatorname{SL}_2(\\mathbf{F}_{7})$, $2.\\mathfrak{A}_5$, $2.\\mathfrak{A}_6$, $3.\\mathfrak{A}_6$ or $6.\\mathfrak{A}_6$. All of these groups with a possible exception of $2.\\mathfrak{A}_6$ and $6.\\mathfrak{A}_6$ indeed act on some rationally connected threefolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09226","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"}