{
  "id": "1201.5655",
  "version": "v1",
  "published": "2012-01-26T21:28:08.000Z",
  "updated": "2012-01-26T21:28:08.000Z",
  "title": "About the autotopisms of abelian groups",
  "authors": [
    "Lucien Clavier"
  ],
  "comment": "13 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We describe the autotopism group Atp(G) of any abelian group G as being a semidirect product of its automorphism group Aut(G) and G^2. We then provide the subgroup structure of Atp(G) when G is a finite cyclic group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-26T21:28:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20K01"
    ],
    "keywords": [
      "abelian group",
      "autotopism group atp",
      "finite cyclic group",
      "automorphism group aut",
      "semidirect product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.5655C"
    }
  }
}