{
  "id": "1805.12091",
  "version": "v1",
  "published": "2018-05-30T17:13:29.000Z",
  "updated": "2018-05-30T17:13:29.000Z",
  "title": "Automorphism groups of designs with $λ=1$",
  "authors": [
    "William M. Kantor"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "If $G$ is a finite group and $k =q>2$ or $k=q+1$ for a prime power $q$ then, for infinitely many integers $v$, there is a $2$--$(v,k,1)$-design ${\\bf D}$ for which ${\\rm Aut} {\\bf D}\\cong G$. For each prime power $q > 7$ there is a design ${\\bf D}$ having the parameters of the point-line design of ${\\rm PG}(3,q)$ and for which ${\\rm Aut} {\\bf D}=1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-30T17:13:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E20"
    ],
    "keywords": [
      "automorphism groups",
      "prime power",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}