{ "id": "1503.07056", "version": "v1", "published": "2015-03-24T14:28:47.000Z", "updated": "2015-03-24T14:28:47.000Z", "title": "The (2,3)-generation of the classical simple groups of dimension 6 and 7", "authors": [ "Marco Antonio Pellegrini" ], "categories": [ "math.GR" ], "abstract": "In this paper we prove that the finite simple groups $PSp_6(q)$, $\\Omega_7(q)$ and $PSU_7(q^2)$ are (2,3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension 7.", "revisions": [ { "version": "v1", "updated": "2015-03-24T14:28:47.000Z" } ], "analyses": { "subjects": [ "20G40", "20F05" ], "keywords": [ "finite simple groups", "finite classical simple groups", "result completes", "classification" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150307056P" } } }