{
  "id": "0801.1862",
  "version": "v1",
  "published": "2008-01-11T22:24:19.000Z",
  "updated": "2008-01-11T22:24:19.000Z",
  "title": "Convexity properties of Thompson's group F",
  "authors": [
    "Matthew Horak",
    "Melanie Stein",
    "Jennifer Taback"
  ],
  "comment": "11 pages, 3 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that Thompson's group F is not minimally almost convex with respect to any generating set which is a subset of the standard infinite generating set for F and which contains x_1. We use this to show that F is not almost convex with respect to any generating set which is a subset of the standard infinite generating set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-11T22:24:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "thompsons group",
      "convexity properties",
      "standard infinite generating set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.1862H"
    }
  }
}