{"paper":{"title":"Closest multiplication tables of groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ian M. Wanless, Petr Vojt\\v{e}chovsk\\'y","submitted_at":"2015-09-18T15:22:07Z","abstract_excerpt":"Suppose that all groups of order $n$ are defined on the same set $G$ of cardinality $n$, and let the \\emph{distance} of two groups of order $n$ be the number of pairs $(a,b)\\in G\\times G$ where the two group operations differ. Given a group $G(\\circ)$ of order $n$, we find all groups of order $n$, up to isomorphism, that are closest to $G(\\circ)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05660","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"}