{
  "id": "1703.00668",
  "version": "v1",
  "published": "2017-03-02T08:45:59.000Z",
  "updated": "2017-03-02T08:45:59.000Z",
  "title": "Periodic points of algebraic actions of discrete groups",
  "authors": [
    "Siddhartha Bhattacharya"
  ],
  "comment": "12 pages, no figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $\\Gamma$ be a countable group. A $\\Gamma$-action on a compact abelian group $X$ by continuous automorphisms of $X$ is called Noetherian if the dual of $X$ is Noetherian as a ${\\mathbb Z}(\\Gamma)$-module. We prove that any Noetherian action of a finitely generated virtually nilpotent group has a dense set of periodic points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-02T08:45:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "periodic points",
      "algebraic actions",
      "discrete groups",
      "compact abelian group",
      "finitely generated virtually nilpotent group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}