{
  "id": "1208.6024",
  "version": "v1",
  "published": "2012-08-29T21:05:55.000Z",
  "updated": "2012-08-29T21:05:55.000Z",
  "title": "Orbits of finite solvable groups on characters",
  "authors": [
    "Thomas Michael Keller",
    "Yong Yang"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that if a solvable group A acts coprimely on a solvable group G, then A has a \"large\" orbit in its corresponding action on the set of ordinary complex irreducible characters of G. This extends (at the cost of a weaker bound) a 2005 result of A. Moreto who obtained such a bound in case that A is a p-group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-29T21:05:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite solvable groups",
      "ordinary complex irreducible characters",
      "weaker bound",
      "corresponding action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.6024K"
    }
  }
}