{
  "id": "0802.0709",
  "version": "v2",
  "published": "2008-02-05T21:20:39.000Z",
  "updated": "2008-03-10T15:39:46.000Z",
  "title": "Residual finiteness, QCERF, and fillings of hyperbolic groups",
  "authors": [
    "Ian Agol",
    "Daniel Groves",
    "Jason Fox Manning"
  ],
  "comment": "(v1) 22 pages, 2 figures. (v2) 24 pages, 2 figures. An error in the proof and statement of the main technical lemma was corrected, and some other small corrections and clarifications were made",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that if every hyperbolic group is residually finite, then every quasi-convex subgroup of every hyperbolic group is separable. The main tool is relatively hyperbolic Dehn filling.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-10T15:39:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67",
      "20E26"
    ],
    "keywords": [
      "hyperbolic group",
      "residual finiteness",
      "quasi-convex subgroup",
      "main tool",
      "residually finite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.0709A"
    }
  }
}