{"paper":{"title":"The Erd\\H{o}s-Ko-Rado property for some permutation groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Bahman Ahmadi, Karen Meagher","submitted_at":"2013-11-27T18:22:10Z","abstract_excerpt":"A subset in a group $G \\leq Sym(n)$ is intersecting if for any pair of permutations $\\pi,\\sigma$ in the subset there is an $i \\in \\{1,2,\\dots,n\\}$ such that $\\pi(i) = \\sigma(i)$. If the stabilizer of a point is the largest intersecting set in a group, we say that the group has the Erd\\H{o}s-Ko-Rado (EKR) property. Moreover, the group has the strict EKR property if every intersecting set of maximum size in the group is either the stabilizer of a point or the coset of the stabilizer of a point. In this paper we look at several families of permutation groups and determine if the groups have eithe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7060","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"}