{
  "id": "1507.06450",
  "version": "v1",
  "published": "2015-07-23T11:25:53.000Z",
  "updated": "2015-07-23T11:25:53.000Z",
  "title": "An Erdős-Ko-Rado theorem for finite 2-transitive groups",
  "authors": [
    "Karen Meagher",
    "Pablo Spiga",
    "Pham Huu Tiep"
  ],
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "We prove an analogue of the classical Erd\\H{o}s-Ko-Rado theorem for intersecting sets of permutations in finite 2-transitive groups. Given a finite group G acting faithfully and 2-transitively on the set X, we show that an intersecting set of maximal size in G has cardinality |G|/|X|. This generalises and gives a unifying proof of some similar recent results in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-23T11:25:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "erdős-ko-rado theorem",
      "intersecting set",
      "finite group",
      "literature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150706450M"
    }
  }
}