{
  "id": "1412.3025",
  "version": "v1",
  "published": "2014-12-09T17:19:06.000Z",
  "updated": "2014-12-09T17:19:06.000Z",
  "title": "Factorability, String Rewriting and Discrete Morse Theory",
  "authors": [
    "Alexander Heß",
    "Viktoriya Ozornova"
  ],
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "This article deals with the notion of factorability. Elements of a factorable group or monoid possess a normal form, which leads to a small complex homotopy equivalent to its bar complex, thus computing its homology. We investigate the relations to string rewriting and to discrete Morse theory on the bar complex. Furthermore, we describe a connection between factorability and Garside theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-09T17:19:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "20J06",
      "20F10",
      "20F36",
      "20M05",
      "68Q42",
      "57T30"
    ],
    "keywords": [
      "discrete morse theory",
      "string rewriting",
      "factorability",
      "bar complex",
      "small complex homotopy equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.3025H"
    }
  }
}