{ "id": "1210.7157", "version": "v3", "published": "2012-10-26T14:36:34.000Z", "updated": "2013-10-03T09:57:34.000Z", "title": "An Application of Maeda's Conjecture to the Inverse Galois Problem", "authors": [ "Gabor Wiese" ], "comment": "10 pages, very minor changes, accepted in Mathematical Research Letters", "categories": [ "math.NT" ], "abstract": "It is shown that Maeda's conjecture on eigenforms of level 1 implies that for every positive even d and every p in a density-one set of primes, the simple group PSL_2(F_{p^d}) occurs as the Galois group of a number field ramifying only at p.", "revisions": [ { "version": "v3", "updated": "2013-10-03T09:57:34.000Z" } ], "analyses": { "subjects": [ "11F11", "11F80", "11R32", "12F12" ], "keywords": [ "inverse galois problem", "maedas conjecture", "application", "density-one set", "simple group" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1210.7157W" } } }