{
  "id": "0805.1479",
  "version": "v1",
  "published": "2008-05-10T15:37:19.000Z",
  "updated": "2008-05-10T15:37:19.000Z",
  "title": "Modular Reduction in Abstract Polytopes",
  "authors": [
    "B. Monson",
    "Egon Schulte"
  ],
  "comment": "16 pages; to appear in Canadian Mathematical Bulletin",
  "categories": [
    "math.CO",
    "math.MG"
  ],
  "abstract": "The paper studies modular reduction techniques for abstract regular and chiral polytopes, with two purposes in mind: first, to survey the literature about modular reduction in polytopes; and second, to apply modular reduction, with moduli given by primes in Z[t] (with t=\\tau the golden ratio), to construct new regular 4-polytopes of hyperbolic types {3,5,3} and {5,3,5} with automorphism groups given by finite orthogonal groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-10T15:37:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51M20",
      "20F55"
    ],
    "keywords": [
      "abstract polytopes",
      "paper studies modular reduction techniques",
      "finite orthogonal groups",
      "abstract regular",
      "chiral polytopes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1479M"
    }
  }
}