{
  "id": "1105.1301",
  "version": "v1",
  "published": "2011-05-06T15:25:23.000Z",
  "updated": "2011-05-06T15:25:23.000Z",
  "title": "Homomorphisms from a finite group into wreath products",
  "authors": [
    "Jan-Christoph Schlage-Puchta"
  ],
  "journal": "Arch. Math. (Basel) 96 (2011), no. 1, 27-30",
  "doi": "10.1007/s00013-010-0188-z",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a finite group, $A$ a finite abelian group. Each homomorphism $\\phi:G\\to A\\wr S_n$ induces a homomorphism $\\bar{\\phi}:G\\to A$ in a natural way. We show that as $\\phi$ is chosen randomly, then the distribution of $\\bar{\\phi}$ is close to uniform. As application we prove a conjecture of T. M\\\"uller on the number of homomorphisms from a finite group into Weyl groups of type $D_n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-06T15:25:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20P05"
    ],
    "keywords": [
      "finite group",
      "wreath products",
      "homomorphism",
      "finite abelian group",
      "natural way"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.1301S"
    }
  }
}