{
  "id": "2002.02540",
  "version": "v1",
  "published": "2020-02-06T22:31:37.000Z",
  "updated": "2020-02-06T22:31:37.000Z",
  "title": "Obstruction to a Higman embedding theorem for residually finite groups with solvable word problem",
  "authors": [
    "Emmanuel Rauzy"
  ],
  "comment": "6 pages, 0 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that, for a finitely generated residually finite group, having solvable word problem is not a sufficient condition to be a subgroup of a finitely presented residually finite group. The obstruction is given by a residually finite group with solvable word problem, but the depth function of which grows faster than any recursive function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-06T22:31:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E26"
    ],
    "keywords": [
      "solvable word problem",
      "higman embedding theorem",
      "obstruction",
      "finitely generated residually finite group",
      "grows faster"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}