{
  "id": "2401.01328",
  "version": "v1",
  "published": "2024-01-02T18:37:07.000Z",
  "updated": "2024-01-02T18:37:07.000Z",
  "title": "Subgroups of bounded rank in hyperbolic 3-manifold groups",
  "authors": [
    "Ian Biringer"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove a finiteness theorem for subgroups of bounded rank in hyperbolic $3$-manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic $3$-manifolds is a tower of finite covers associated to a fibration over a $1$-orbifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-02T18:37:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K32"
    ],
    "keywords": [
      "finite covers",
      "finiteness theorem",
      "bounded rank covering tower",
      "manifold groups",
      "closed hyperbolic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}