{
  "id": "2010.08970",
  "version": "v1",
  "published": "2020-10-18T12:11:24.000Z",
  "updated": "2020-10-18T12:11:24.000Z",
  "title": "3-fold Massey products in Galois cohomology -- The non-prime case",
  "authors": [
    "Ido Efrat"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For $m\\geq2$, let $F$ be a field of characteristic prime to $m$ and containing the roots of unity of order $m$, and let $G_F$ be its absolute Galois group. We show that the 3-fold Massey products $\\langle\\chi_1,\\chi_2,\\chi_3\\rangle$, with $\\chi_1,\\chi_2,\\chi_3\\in H^1(G_F,\\mathbb{Z}/m)$ and $\\chi_1,\\chi_3$ $\\mathbb{Z}/m$-linearly independent, are non-essential. This was earlier proved for $m$ prime. Our proof is based on the study of unitriangular representations of $G_F$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-18T12:11:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12G05",
      "12E30",
      "16K50"
    ],
    "keywords": [
      "massey products",
      "galois cohomology",
      "non-prime case",
      "absolute galois group",
      "characteristic prime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}