{
  "id": "1412.5221",
  "version": "v1",
  "published": "2014-12-16T22:46:10.000Z",
  "updated": "2014-12-16T22:46:10.000Z",
  "title": "Construction of infinite finitely presented nill-semigroup",
  "authors": [
    "Ilya Ivanov-Pogodayev",
    "Alexey Kanel-Belov"
  ],
  "comment": "147 pages, 103 figures, in Russian",
  "categories": [
    "math.GR"
  ],
  "abstract": "The paper deals with the solution of Shevrin problem. Infinite finitely presented nill-semigroup is constructed. The construction is based on aperiodic fillings, Goodman-Strauss type theorems on uniformly elliptic space. Space is called {\\it uniformly elliptic} iff there is universal constant $\\lambda>0$ such that any two points $A$ and $B$ on distant $D$ can be joined by family of geodesic lines generating a disc of wideness $\\lambda\\cdot D$. Research was supported by the grant RFBR N 14-01-00548",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-16T22:46:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "construction",
      "nill-semigroup",
      "goodman-strauss type theorems",
      "grant rfbr"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 147,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.5221I"
    }
  }
}