{
  "id": "2211.03278",
  "version": "v1",
  "published": "2022-11-07T03:03:11.000Z",
  "updated": "2022-11-07T03:03:11.000Z",
  "title": "The algebraic Brauer group of a reductive group over a nonarchimedean local field",
  "authors": [
    "Dylon Chow"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that for nonarchimedean local fields $F$, the pairing from the algebraic part of the Brauer group of a reductive group $G$ characterizes all continuous homomorphisms from $G(F)$ into $\\mathbb{Q}/\\mathbb{Z}$. This generalizes results of Loughran and Loughran-Tanimoto-Takloo-Bighash.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-07T03:03:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonarchimedean local field",
      "algebraic brauer group",
      "reductive group",
      "algebraic part",
      "generalizes results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}