{ "id": "1601.02561", "version": "v1", "published": "2016-01-11T19:23:19.000Z", "updated": "2016-01-11T19:23:19.000Z", "title": "Comparing the order and the minimal number of generators of a transitive permutation group", "authors": [ "Gareth M. Tracey" ], "categories": [ "math.GR" ], "abstract": "We prove that if $G$ is a transitive permutation group, then $d(G)\\log{|G|}/n^{2}$ tends to $0$ as $n$ tends to $\\infty$.", "revisions": [ { "version": "v1", "updated": "2016-01-11T19:23:19.000Z" } ], "analyses": { "subjects": [ "20B35" ], "keywords": [ "transitive permutation group", "minimal number", "generators" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160102561T" } } }