{
  "id": "math/0312506",
  "version": "v1",
  "published": "2003-12-30T17:47:35.000Z",
  "updated": "2003-12-30T17:47:35.000Z",
  "title": "The invariant factors of the incidence matrices of points and subspaces in PG(n,q) and AG(n,q)",
  "authors": [
    "David B. Chandler",
    "Peter Sin",
    "Qing Xiang"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We determine the Smith normal forms of the incidence matrices of points and projective (r-1)-dimensional subspaces of PG(n,q) and of the incidence matrices of points and r-dimensional affine subspaces of AG(n,q) for all n, r, and arbitrary prime power q.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-30T17:47:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E20",
      "20G05",
      "20C11"
    ],
    "keywords": [
      "incidence matrices",
      "invariant factors",
      "smith normal forms",
      "r-dimensional affine subspaces",
      "arbitrary prime power"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12506C"
    }
  }
}