{
  "id": "0710.0326",
  "version": "v1",
  "published": "2007-10-01T15:39:27.000Z",
  "updated": "2007-10-01T15:39:27.000Z",
  "title": "On Orbits of the Ring $Z_n^m$ under the Action of the Group $SL(m,Z_n)$",
  "authors": [
    "Petr Novotný",
    "Jiří Hrivnák"
  ],
  "comment": "9 pages",
  "journal": "Acta Polytechnica Vol. 45, No. 5/2005, 41-45",
  "categories": [
    "math.GR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the action of the finite matrix group $SL(m,Z_n)$ on the ring $Z_n^m$. We determine orbits of this action for n arbitrary natural number. It is a generalization of the task which was studied by A.A. Kirillov for $m=2$ and $n$ prime number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-01T15:39:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A50"
    ],
    "keywords": [
      "finite matrix group",
      "arbitrary natural number",
      "prime number",
      "determine orbits",
      "generalization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0326N"
    }
  }
}