{
  "id": "1605.05226",
  "version": "v1",
  "published": "2016-05-17T16:18:50.000Z",
  "updated": "2016-05-17T16:18:50.000Z",
  "title": "On two-generator subgroups in SL_2(Z), SL_2(Q), and SL_2(R)",
  "authors": [
    "Anastasiya Chorna",
    "Katherine Geller",
    "Vladimir Shpilrain"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We consider what some authors call 'parabolic M\\\"obius subgroups' of matrices over Z, Q, and R and focus on the membership problem in these subgroups and complexity of relevant algorithms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-17T16:18:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20H25"
    ],
    "keywords": [
      "two-generator subgroups",
      "membership problem",
      "relevant algorithms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}