{
  "id": "math/0504581",
  "version": "v1",
  "published": "2005-04-28T21:23:06.000Z",
  "updated": "2005-04-28T21:23:06.000Z",
  "title": "Quadratic Function Fields with Exponent Two Ideal Class Group",
  "authors": [
    "Victor Bautista-Ancona",
    "Javier Diaz-Vargas"
  ],
  "comment": "To appear in the Journal of Number Theory",
  "categories": [
    "math.NT"
  ],
  "abstract": "It has been shown by Madden that there are only finitely many quadratic extensions of k(x), k a finite field, in which the ideal class group has exponent two and the infinity place of k(x) ramifies. We give a characterization of such fields that allow us to find a full list of all such field extensions for future reference. In doing so we correct some errors in earlier published literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-28T21:23:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R11",
      "11R29",
      "11R42"
    ],
    "keywords": [
      "ideal class group",
      "quadratic function fields",
      "finite field",
      "infinity place",
      "quadratic extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4581B"
    }
  }
}