{
  "id": "math/0611673",
  "version": "v2",
  "published": "2006-11-22T08:40:17.000Z",
  "updated": "2006-11-29T01:06:13.000Z",
  "title": "Essential dimensions of finite groups",
  "authors": [
    "Ming-chang Kang"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "We study the essential dimension of a finite group G over a field K. A generalization of the central extension theorem of Buhler and Reichstein (Compositio Math. 106 (1997) 159-179, Theorem 5.3) is obtained. We also get lower bounds of essential dimension of symmetric groups and alternating groups over field of any characteristic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-11-29T01:06:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12E05",
      "12F10",
      "12F20",
      "13F30"
    ],
    "keywords": [
      "essential dimension",
      "finite group",
      "central extension theorem",
      "lower bounds",
      "compositio math"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11673K"
    }
  }
}