{
  "id": "1804.09609",
  "version": "v1",
  "published": "2018-04-25T14:52:09.000Z",
  "updated": "2018-04-25T14:52:09.000Z",
  "title": "Groups whose word problems are not semilinear",
  "authors": [
    "Robert H. Gilman",
    "Robert P. Kropholler",
    "Saul Schleimer"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Suppose that G is a finitely generated group and W is the formal language of words defining the identity in G. We prove that if G is a nilpotent group, the fundamental group of a finite volume hyperbolic three-manifold, or a right-angled Artin group whose graph lies in a certain infinite class, then W is not a multiple context free language.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-25T14:52:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10"
    ],
    "keywords": [
      "word problems",
      "semilinear",
      "multiple context free language",
      "finite volume hyperbolic three-manifold",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}