{"paper":{"title":"Triple Massey Products with weights in Galois cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Eliyahu Matzri","submitted_at":"2016-09-26T11:34:16Z","abstract_excerpt":"Fix an arbitrary prime $p$. Let $F$ be a field containing a primitive $p$-th root of unity, with absolute Galois group $G_F$, and let $H^n$ denote its mod $p$ cohomology group $H^n(G_F,\\mathbb{Z}/p\\mathbb{Z})$. The triple Massey product of weight $(n,k,m)\\in \\mathbb{N}^3$ is a partially defined, multi-valued function $\\langle \\cdot,\\cdot,\\cdot \\rangle: H^n\\times H^k\\times H^m\\rightarrow H^{n+k+m-1}.$ %(in the mod-$p$ Galois cohomology) In this work we prove that for an arbitrary prime $p$, any defined $3MP$ of weight $(n,1,m)$, where the first and third entries are assumed to be symbols, conta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07927","kind":"arxiv","version":3},"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"}