{
  "id": "1006.5208",
  "version": "v1",
  "published": "2010-06-27T12:55:00.000Z",
  "updated": "2010-06-27T12:55:00.000Z",
  "title": "Algebraic entropy of generalized shifts on direct products",
  "authors": [
    "Anna Giordano Bruno"
  ],
  "comment": "16 pages",
  "journal": "Comm. Algebra 38 (11) (2010), 4155-4174",
  "doi": "10.1080/00927870903337984",
  "categories": [
    "math.GR"
  ],
  "abstract": "For a set $\\Gamma$, a function $\\lambda:\\Gamma\\to \\Gamma$ and a non-trivial abelian group $K$, the generalized shift $\\sigma_\\lambda:K^\\Gamma\\to K^\\Gamma$ is defined by $(x_i)_{i\\in \\Gamma}\\mapsto (x_{\\lambda(i)})_{i\\in\\Gamma}$. In this paper we compute the algebraic entropy of $\\sigma_\\lambda$; it is either zero or infinite, depending exclusively on the properties of $\\lambda$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-27T12:55:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic entropy",
      "generalized shift",
      "direct products",
      "non-trivial abelian group",
      "properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.5208G"
    }
  }
}