{
  "id": "1204.6235",
  "version": "v3",
  "published": "2012-04-27T14:58:36.000Z",
  "updated": "2013-03-23T18:57:54.000Z",
  "title": "Stabilizers of simple paths in the Bruhat-Tits tree of SL(2) over finite extensions of Q2",
  "authors": [
    "Terence Joseph Kivran-Swaine"
  ],
  "comment": "This paper has been withdrawn by the author due to an index error in the main theorem",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "For F an algebraic extension of Q2, the conjugacy classes of invertible, 2-by-2, trace-zero matrices under the action of G := SL2(F) are analyzed relative to the quadratic extension that splits the respective characteristic polynomial. The stabilizer in G of each such matrix is computed as a stabilizer of a simple, Galois invariant path in the Bruhat-Tits Tree of G.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-23T18:57:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S15",
      "11T30",
      "22E35"
    ],
    "keywords": [
      "bruhat-tits tree",
      "simple paths",
      "finite extensions",
      "stabilizer",
      "galois invariant path"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.6235K"
    }
  }
}