{
  "id": "2312.07967",
  "version": "v1",
  "published": "2023-12-13T08:29:20.000Z",
  "updated": "2023-12-13T08:29:20.000Z",
  "title": "Massey products in Galois cohomology and Pythagorean fields",
  "authors": [
    "Claudio Quadrelli"
  ],
  "comment": "19 pages. arXiv admin note: text overlap with arXiv:2203.16232",
  "categories": [
    "math.NT",
    "math.GR"
  ],
  "abstract": "We prove that a strengthened version of Minac-Tan's Massey Vanishing Conjecture holds true for fields with a finite number of square classes whose maximal pro-$2$ Galois group is of elementary type (as defined by I. Efrat). In particular, this proves Minac-Tan's Massey Vanishing Conjecture for Pythagorean fields with a finite number of square classes and their finite extensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-13T08:29:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12G05",
      "20E18",
      "20J06",
      "12F10"
    ],
    "keywords": [
      "pythagorean fields",
      "galois cohomology",
      "massey products",
      "vanishing conjecture holds true",
      "minac-tans massey vanishing conjecture holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}