{"paper":{"title":"The Cocycle structure of the Alexander $f$-quandles on finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Indu Rasika Churchill, Mohamed Elhamdadi, Neranga Fernando","submitted_at":"2016-12-28T19:54:04Z","abstract_excerpt":"We determine the second, third, and fourth cohomology groups of Alexander $f$-quandles of the form $\\mathbb{F}_q[T,S]/ (T-\\omega, S-\\beta)$, where $\\mathbb{F}_q$ denotes the finite field of order $q$, $\\omega \\in \\mathbb{F}_q\\setminus \\{0,1\\}$, and $\\beta \\in \\mathbb{F}_q$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08968","kind":"arxiv","version":2},"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"}