{
  "id": "1509.01568",
  "version": "v1",
  "published": "2015-09-04T19:27:52.000Z",
  "updated": "2015-09-04T19:27:52.000Z",
  "title": "Construction of paradoxical decompositions",
  "authors": [
    "Akram Yousofzadeh"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "This paper is an application of a matrix combinatorial property named as normality, to construct a paradoxical decomposition for given non-amenable discrete group. We conjecture that every such group admits a system of equations with this property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-04T19:27:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "paradoxical decomposition",
      "construction",
      "matrix combinatorial property",
      "non-amenable discrete group",
      "group admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150901568Y"
    }
  }
}