{
  "id": "1002.1138",
  "version": "v1",
  "published": "2010-02-05T07:22:09.000Z",
  "updated": "2010-02-05T07:22:09.000Z",
  "title": "Some $p$-ranks related to a conic in $PG(2,q)$",
  "authors": [
    "Junhua Wu"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $\\A$ be the incidence matrix of lines and points of the classical projective plane $PG(2,q)$ with $q$ odd. With respect to a conic in $PG(2,q)$, the matrix $\\A$ is partitioned into 9 submatrices. The rank of each of these submatices over $\\Ff_q$, the defining field of $PG(2,q)$, is determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-05T07:22:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incidence matrix",
      "classical projective plane",
      "submatrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1138W"
    }
  }
}