{ "id": "1911.11939", "version": "v1", "published": "2019-11-27T04:01:51.000Z", "updated": "2019-11-27T04:01:51.000Z", "title": "Baer--Suzuki theorem for the $π$-radical", "authors": [ "Nanying Yang", "Danila O. Revin", "Evgeny P. Vdovin" ], "categories": [ "math.GR" ], "abstract": "In the paper we prove (modulo the classification of finite simple groups) an analogue of the famous Baer-Suzuki theorem for the $\\pi$-radical of a finite group, where $\\pi$ is a set of primes", "revisions": [ { "version": "v1", "updated": "2019-11-27T04:01:51.000Z" } ], "analyses": { "subjects": [ "20D25", "20D05", "20E45" ], "keywords": [ "finite simple groups", "famous baer-suzuki theorem", "finite group", "classification" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }