{
  "id": "math/0007062",
  "version": "v3",
  "published": "2000-07-10T22:34:09.000Z",
  "updated": "2002-07-13T21:43:08.000Z",
  "title": "L-presentations and branch groups",
  "authors": [
    "Laurent Bartholdi"
  ],
  "journal": "J. Algebra 268 (2003), no. 2, 419--443",
  "doi": "10.1016/S0021-8693(03)00268-0",
  "categories": [
    "math.GR"
  ],
  "abstract": "We introduce L-presentations: group presentations given by a generating set, a set of relations and a set of substitution rules on the generating set producing more relations. We first study in full generality the structure of finitely L-presented groups, i.e. groups for which all the above sets are finite, and then show that a broad class of groups acting on rooted trees admit explicitly constructible finite L-presentations: they are the \"branch\" groups defined by R. Grigorchuk.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-07-13T21:43:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "20E08"
    ],
    "keywords": [
      "branch groups",
      "trees admit explicitly constructible finite",
      "generating set",
      "admit explicitly constructible finite l-presentations",
      "full generality"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7062B"
    }
  }
}