{
  "id": "2007.15851",
  "version": "v1",
  "published": "2020-07-31T05:21:59.000Z",
  "updated": "2020-07-31T05:21:59.000Z",
  "title": "Hilton-Milner results in projective and affine spaces",
  "authors": [
    "Jozefien D'haeseleer"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this article, we analyse maximal sets of $k$-spaces, in PG(n,q) and AG(n,q), $n>2k+t+2$, that pairwise meet in at least a $t$-space. It is known that for both PG(n,q) and AG(n,q), the largest example is a $t$-pencil, i.e. the set of all $k$-spaces containing a fixed $t$-space. In this paper, we analyse the structure of the second largest maximal example in both PG(n,q) and AG(n,q).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-31T05:21:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25",
      "51E20",
      "51E30"
    ],
    "keywords": [
      "affine spaces",
      "hilton-milner results",
      "second largest maximal example",
      "analyse maximal sets",
      "projective"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}