{
  "id": "1410.7051",
  "version": "v1",
  "published": "2014-10-26T15:43:14.000Z",
  "updated": "2014-10-26T15:43:14.000Z",
  "title": "Twisted Conjugacy in Houghton's groups",
  "authors": [
    "Charles Cox"
  ],
  "comment": "34 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "For a fixed $n\\ge2$, Houghton's group $H_n$ consists of bijections of $X_n=\\{1,\\ldots,n\\} \\times \\mathbb{N}$ that are 'eventually translations' of each copy of $\\mathbb{N}$. These groups were recently shown to have solvable conjugacy problem. In general this does not imply that all finite extensions and finite index subgroups have solvable conjugacy problem. In this note we show that, for $H_n$, it does.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-26T15:43:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10",
      "20B99"
    ],
    "keywords": [
      "houghtons group",
      "twisted conjugacy",
      "solvable conjugacy problem",
      "finite index subgroups",
      "finite extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7051C"
    }
  }
}