{
  "id": "1401.6268",
  "version": "v1",
  "published": "2014-01-24T07:02:30.000Z",
  "updated": "2014-01-24T07:02:30.000Z",
  "title": "On the rings of Fricke characters of free abelian groups",
  "authors": [
    "Eri Hatakenaka",
    "Takao Satoh"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper, we study the structure of the rings of Fricke characters of free abelian groups. More precisely, we consider a descending filtration of ideals in the ring, and give a basis of its graded quotients. Then by using this fact, we show that the ring of Fricke characters of a free aberian group is an integral domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-24T07:02:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free abelian groups",
      "fricke characters",
      "free aberian group",
      "integral domain",
      "graded quotients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.6268H"
    }
  }
}