{
  "id": "math/0702495",
  "version": "v4",
  "published": "2007-02-16T18:12:38.000Z",
  "updated": "2008-02-01T08:51:23.000Z",
  "title": "Reversible maps and composites of involutions in groups of piecewise linear homeomorphisms of the real line",
  "authors": [
    "Nick Gill",
    "Ian Short"
  ],
  "comment": "10 pages, 0 figures. Version 4 includes a few small clarifications and corrections. To appear in Aequationes Math",
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "An element of a group is \\emph{reversible} if it is conjugate to its own inverse, and it is \\emph{strongly reversible} if it is conjugate to its inverse by an involution. A group element is strongly reversible if and only if it can be expressed as a composite of two involutions. In this paper the reversible maps, the strongly reversible maps, and those maps that can be expressed as a composite of involutions are determined in certain groups of piecewise linear homeomorphisms of the real line.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-02-01T08:51:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45",
      "37E05"
    ],
    "keywords": [
      "piecewise linear homeomorphisms",
      "real line",
      "involution",
      "group element",
      "strongly reversible maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2495G"
    }
  }
}