{
  "id": "math/9812132",
  "version": "v1",
  "published": "1998-12-22T17:57:57.000Z",
  "updated": "1998-12-22T17:57:57.000Z",
  "title": "Free crossed resolutions of groups and presentations of modules of identities among relations",
  "authors": [
    "Ronald Brown",
    "A. Razak Salleh"
  ],
  "comment": "34 pages, LaTeX2E, with xypic",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "We give formulae for a module presentation of the module of identities among relations for a presentation of a group, in terms of information on 0- and 1-combings of the Cayley graph. This is seen as a special case of extending a partial free crossed resolution of a group given a partial contracting homotopy of its universal cover.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-12-22T17:57:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "20J05",
      "20L10",
      "18G50",
      "57M07"
    ],
    "keywords": [
      "identities",
      "partial free crossed resolution",
      "special case",
      "cayley graph",
      "module presentation"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....12132B"
    }
  }
}