{ "id": "1502.03425", "version": "v1", "published": "2015-01-21T14:09:26.000Z", "updated": "2015-01-21T14:09:26.000Z", "title": "Huppert's Conjecture for Alternating groups", "authors": [ "Christine Bessenrodt", "Hung P. Tong-Viet", "Jiping Zhang" ], "comment": "20 pages", "categories": [ "math.GR", "math.RT" ], "abstract": "We prove that the alternating groups of degree at least $5$ are uniquely determined up to an abelian direct factor by the degrees of their irreducible complex representations. This confirms Huppert's Conjecture for alternating groups.", "revisions": [ { "version": "v1", "updated": "2015-01-21T14:09:26.000Z" } ], "analyses": { "subjects": [ "20C15", "20D05", "20C30" ], "keywords": [ "alternating groups", "confirms hupperts conjecture", "abelian direct factor", "irreducible complex representations" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }