{
  "id": "1801.05536",
  "version": "v1",
  "published": "2018-01-17T03:39:10.000Z",
  "updated": "2018-01-17T03:39:10.000Z",
  "title": "The shape of solvable groups with odd order",
  "authors": [
    "S. P. Glasby"
  ],
  "comment": "Added to arXiv in 2018",
  "journal": "Groups St Andrews 2005, vol. 2, Edited by C.M. Campbell, M.R. Quick, E.F. Robertson and G.C. Smith, London Mathematical Society Lecture Notes Series 340, Cambridge Univ. Press, (2007), 432--437",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that the minimal composition length, $c$, of a solvable group with solvable length $d$ satisfies $9^{(d-3)/9}< c< 9^{(d+1)/5}$, and the minimal composition length, $c^o$, of a group with odd order and solvable length $d$ satisfies $7^{(d-2)/5}< c^o< 2^d$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-17T03:39:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F16",
      "20F14",
      "20E34"
    ],
    "keywords": [
      "odd order",
      "solvable group",
      "minimal composition length"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}