{
  "id": "1711.08650",
  "version": "v1",
  "published": "2017-11-23T11:09:11.000Z",
  "updated": "2017-11-23T11:09:11.000Z",
  "title": "Reidemeister spectra for solvmanifolds in low dimensions",
  "authors": [
    "Karel Dekimpe",
    "Sam Tertooy",
    "Iris Van den Bussche"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "The Reidemeister number of an endomorphism of a group is the number of twisted conjugacy classes determined by that endomorphism. The collection of all Reidemeister numbers of all automorphisms of a group $G$ is called the Reidemeister spectrum of $G$. In this paper, we determine the Reidemeister spectra of all fundamental groups of solvmanifolds up to Hirsch length 4.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-23T11:09:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F16",
      "20F34"
    ],
    "keywords": [
      "reidemeister spectrum",
      "low dimensions",
      "solvmanifolds",
      "reidemeister number",
      "twisted conjugacy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}