{
  "id": "2011.09807",
  "version": "v1",
  "published": "2020-11-19T13:15:43.000Z",
  "updated": "2020-11-19T13:15:43.000Z",
  "title": "Congruence Subgroups and Orthogonal Groups",
  "authors": [
    "Adrian Hauffe-Waschbüsch",
    "Aloys Krieg"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We derive explicite isomorphismus between certain congruence subgroups of the Siegel modular group and the Hermitian modular group and the modular group over the Hurwitz quaternions of degree 2 and the discriminant kernels of special orthogonal groups O(2, n), n = 3, 4, 6. The proof is based on an application of linear algebra adapted to the number theoretical needs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-19T13:15:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F46",
      "11F55"
    ],
    "keywords": [
      "congruence subgroups",
      "siegel modular group",
      "hermitian modular group",
      "special orthogonal groups",
      "number theoretical needs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}