{
  "id": "1108.2403",
  "version": "v1",
  "published": "2011-08-11T13:53:16.000Z",
  "updated": "2011-08-11T13:53:16.000Z",
  "title": "A Reidemeister-Schreier theorem for finitely $L$-presented groups",
  "authors": [
    "René Hartung"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove a variant of the well-known Reidemeister-Schreier theorem for finitely $L$-presented groups. More precisely, we prove that each finite index subgroup of a finitely $L$-presented group is itself finitely $L$-presented. Our proof is constructive and it yields a finite $L$-presentation for the subgroup. We further study conditions on a finite index subgroup of an invariantly finitely $L$-presented group to be invariantly $L$-presented itself.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-11T13:53:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite index subgroup",
      "well-known reidemeister-schreier theorem",
      "study conditions",
      "presentation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.2403H"
    }
  }
}