{
  "id": "1305.2044",
  "version": "v2",
  "published": "2013-05-09T09:50:05.000Z",
  "updated": "2014-06-30T16:29:30.000Z",
  "title": "Conjugacy in Houghton's Groups",
  "authors": [
    "Yago Antolín",
    "José Burillo",
    "Armando Martino"
  ],
  "comment": "11 pages, 1 figure, v2 correct typos and fills a small gap in the argument",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $n\\in \\mathbb{N}$. Houghton's group $H_n$ is the group of permutations of $\\{1,\\dots, n\\}\\times \\mathbb{N}$, that eventually act as a translation in each copy of $\\mathbb{N}$. We prove the solvability of the conjugacy problem and conjugator search problem for $H_n$, $n\\geq 2$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-30T16:29:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10",
      "20B99"
    ],
    "keywords": [
      "houghtons group",
      "conjugator search problem",
      "conjugacy problem",
      "solvability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.2044A"
    }
  }
}