{
  "id": "1412.8767",
  "version": "v1",
  "published": "2014-12-30T20:57:33.000Z",
  "updated": "2014-12-30T20:57:33.000Z",
  "title": "Twisted conjugacy classes in Houghton's groups $H_n$",
  "authors": [
    "Jang Hyun Jo",
    "Jong Bum Lee",
    "Sang Rae Lee"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In this article, we prove that every automorphism on any Houghton's group H_n has infinitely many twisted conjugacy classes. The result follows from the standard facts about Houghton's groups and some elementary properties of the Reidemeister numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-30T20:57:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E36"
    ],
    "keywords": [
      "twisted conjugacy classes",
      "houghtons group",
      "standard facts",
      "elementary properties",
      "reidemeister numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.8767J"
    }
  }
}