{"paper":{"title":"Classification of flag-transitive primitive symmetric $(v,k,\\lambda)$ designs with $PSL(2,q)$ as socle","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Delu Tian, Shenglin Zhou","submitted_at":"2015-03-24T11:37:56Z","abstract_excerpt":"Let $\\mathcal D$ be a nontrivial symmetric $(v,k,\\lambda)$ design, and $G$ be a subgroup of the full automorphism group of $\\mathcal D$. In this paper we prove that if $G$ acts flag-transitively, point-primitively on $\\mathcal D$ and $Soc(G)= PSL(2,q)$, then D has parameters $(7, 3, 1)$, $(7, 4, 2)$, $(11, 5, 2)$, $(11, 6, 3)$ or $(15, 8, 4)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06992","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"}