{
  "id": "1108.1123",
  "version": "v1",
  "published": "2011-08-04T15:53:11.000Z",
  "updated": "2011-08-04T15:53:11.000Z",
  "title": "Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices",
  "authors": [
    "Herbert Abels",
    "Antonios Manoussos"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we bring together results about the density of subsemigroups of abelian Lie groups, the minimal number of topological generators of abelian Lie groups and a result about actions of algebraic groups. We find the minimal number of generators of a finitely generated abelian semigroup or group of matrices with a dense or a somewhere dense orbit by computing the minimal number of generators of a dense subsemigroup (or subgroup) of the connected component of the identity of its Zariski closure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-04T15:53:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D03",
      "20F05",
      "20G20",
      "22E10",
      "22E15",
      "37C85",
      "47A16"
    ],
    "keywords": [
      "abelian lie groups",
      "hypercyclic finitely generated abelian semigroups",
      "topological generators",
      "minimal number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.1123A"
    }
  }
}