{ "id": "1608.04483", "version": "v1", "published": "2016-08-16T05:03:59.000Z", "updated": "2016-08-16T05:03:59.000Z", "title": "Cohomological invariants for G-Galois algebras and self-dual normal bases", "authors": [ "Eva Bayer-Fluckiger", "Raman Parimala" ], "categories": [ "math.NT" ], "abstract": "We define degree two cohomological invariants for G-Galois algebras over fields of characteristic not 2, and use them to give necessary conditions for the existence of a self--dual normal basis. In some cases, we show that these conditions are also sufficient.", "revisions": [ { "version": "v1", "updated": "2016-08-16T05:03:59.000Z" } ], "analyses": { "keywords": [ "self-dual normal basis", "g-galois algebras", "cohomological invariants", "define degree", "necessary conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }