{
  "id": "1202.4732",
  "version": "v1",
  "published": "2012-02-21T19:21:25.000Z",
  "updated": "2012-02-21T19:21:25.000Z",
  "title": "Kummer Theory for Drinfeld Modules",
  "authors": [
    "Richard Pink"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let {\\phi} be a Drinfeld A-module of characteristic p0 over a finitely generated field K. Previous articles determined the image of the absolute Galois group of K up to commensurability in its action on all prime-to-p0 torsion points of {\\phi}, or equivalently, on the prime-to-p0 adelic Tate module of {\\phi}. In this article we consider in addition a finitely generated torsion free A-submodule M of K for the action of A through {\\phi}. We determine the image of the absolute Galois group of K up to commensurability in its action on the prime-to-p0 division hull of M, or equivalently, on the extended prime-to-p0 adelic Tate module associated to {\\phi} and M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-21T19:21:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G09",
      "11R58"
    ],
    "keywords": [
      "drinfeld modules",
      "kummer theory",
      "generated torsion free a-submodule",
      "adelic tate module",
      "absolute galois group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.4732P"
    }
  }
}