{ "id": "2205.02578", "version": "v1", "published": "2022-05-05T11:22:02.000Z", "updated": "2022-05-05T11:22:02.000Z", "title": "Groups with small multiplicities of fields of values of irreducible characters", "authors": [ "Juan Martínez" ], "comment": "16 pages", "categories": [ "math.GR" ], "abstract": "In this work, we classify all finite groups such that for every field extension F of \\mathbb{Q}, F is the field of values of at most 3 irreducible characters.", "revisions": [ { "version": "v1", "updated": "2022-05-05T11:22:02.000Z" } ], "analyses": { "subjects": [ "20C15" ], "keywords": [ "irreducible characters", "small multiplicities", "finite groups" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }