{
  "id": "0909.3128",
  "version": "v2",
  "published": "2009-09-17T00:28:33.000Z",
  "updated": "2009-11-25T22:05:22.000Z",
  "title": "Reidemeister spectrum for metabelian groups of the form ${Q}^n\\rtimes \\mathbb Z$ and ${\\mathbb Z[1/p]}^n\\rtimes \\mathbb Z$, $p$ prime",
  "authors": [
    "Alexander Fel'shtyn",
    "Daciberg L. Gonçalves"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GR",
    "math.AT",
    "math.RT"
  ],
  "abstract": "In this note we study the Reidemeister spectrum for metabelian groups of the form ${\\mathbb Q}^n\\rtimes \\mathbb Z$ and ${\\mathbb Z[1/p]}^n\\rtimes \\mathbb Z$. Particular attention is given to the $R_{\\infty}$ property of a subfamily of these groups. We also define a Nielsen spectrum of a space and discuss some examples.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-11-25T22:05:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45",
      "37C25",
      "55M20"
    ],
    "keywords": [
      "metabelian groups",
      "reidemeister spectrum",
      "nielsen spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3128F"
    }
  }
}