{ "id": "math/0309313", "version": "v1", "published": "2003-09-19T04:59:37.000Z", "updated": "2003-09-19T04:59:37.000Z", "title": "Solvable groups with a given solvable length, and minimal composition length", "authors": [ "S. P. Glasby" ], "comment": "LaTeX; 13 pages; 0 figures", "journal": "J. Group Theory 8 (2005), 339--350", "categories": [ "math.GR" ], "abstract": "Let c(d) denote the minimal composition length of all finite solvable groups with solvable (or derived) length d. We prove that c(d) equals 0,1,2,4,5,7,8,13,15 when d=0,1,2,3,4,5,6,7,8.", "revisions": [ { "version": "v1", "updated": "2003-09-19T04:59:37.000Z" } ], "analyses": { "subjects": [ "20F16", "20F14" ], "keywords": [ "minimal composition length", "solvable length", "finite solvable groups" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......9313G" } } }