{
  "id": "1901.09034",
  "version": "v1",
  "published": "2019-01-23T09:40:47.000Z",
  "updated": "2019-01-23T09:40:47.000Z",
  "title": "Existence of regular $3$-hypertopes with $2^n$ chambers",
  "authors": [
    "Dong-Dong Hou",
    "Yan-Quan Feng",
    "Dimitri Leemans"
  ],
  "comment": "11. arXiv admin note: text overlap with arXiv:1604.03162",
  "categories": [
    "math.CO"
  ],
  "abstract": "For any positive integers $n, s, t, l$ such that $n \\geq 10$, $s, t \\geq 2$, $l \\geq 1$ and $n \\geq s+t+l$, a new infinite family of regular 3-hypertopes with type $(2^s, 2^t, 2^l)$ and automorphism group of order $2^n$ is constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-23T09:40:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B25",
      "20D15",
      "52B15"
    ],
    "keywords": [
      "hypertopes",
      "automorphism group",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}