{
  "id": "0906.3574",
  "version": "v1",
  "published": "2009-06-19T05:28:35.000Z",
  "updated": "2009-06-19T05:28:35.000Z",
  "title": "Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups",
  "authors": [
    "Scott H. Murray",
    "Neil Saunders"
  ],
  "comment": "4 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "The minimal faithful permutation degree of a finite group $G$, denote by $\\mu(G)$ is the least non-negative integer $n$ such that $G$ embeds inside the symmetric group $\\Sym(n)$. In this paper, we outline a Magma proof that 10 is the smallest degree for which there are groups $G$ and $H$ such that $\\mu(G \\times H) < \\mu(G)+ \\mu(H)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-19T05:28:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B35"
    ],
    "keywords": [
      "finite group",
      "magma proof",
      "strict inequalities",
      "minimal degrees",
      "minimal faithful permutation degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.3574M"
    }
  }
}