{ "id": "1107.5158", "version": "v2", "published": "2011-07-26T10:20:27.000Z", "updated": "2011-11-28T17:38:48.000Z", "title": "Nilpotent $p$-local finite groups", "authors": [ "J. Cantarero", "J. Scherer", "A. Viruel" ], "comment": "21 pages, no figures", "categories": [ "math.AT", "math.GR" ], "abstract": "In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.", "revisions": [ { "version": "v2", "updated": "2011-11-28T17:38:48.000Z" } ], "analyses": { "subjects": [ "55R35", "20D15", "20D20", "20C20", "20N99" ], "keywords": [ "local finite groups", "fusion systems", "generalize criteria", "characterizations", "literature" ], "publication": { "doi": "10.1007/s11512-013-0181-4", "journal": "Arkiv for Matematik", "year": 2014, "month": "Oct", "volume": 52, "number": 2, "pages": 203 }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014ArM....52..203C" } } }