{
  "id": "1712.04794",
  "version": "v1",
  "published": "2017-12-13T14:42:34.000Z",
  "updated": "2017-12-13T14:42:34.000Z",
  "title": "Generators and closed class of groups",
  "authors": [
    "Ramón Flores",
    "José L. Rodríguez"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that in the category of groups, every singly-generated class which is closed under isomorphisms, direct limits and extensions is also singly-generated under isomorphisms and direct limits, and in particular is co-reflective. We also establish several new relations between singly-generated closed classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-13T14:42:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E34",
      "20E22",
      "55P60"
    ],
    "keywords": [
      "generators",
      "direct limits",
      "isomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}