E. Bayer-Fluckiger, R. Parimala, J-P. Serre, “Hasse principle for $G$-trace forms”, Изв. РАН. Сер. матем., 2013, том 77, выпуск 3,страницы 5

Эта публикация цитируется в 6 статьях

Hasse principle for $G$-trace forms

E. Bayer-Fluckiger^a, R. Parimala^b, J-P. Serre^c

^a Ecole Polytechnique Fédérale de Lausanne
^b Department of Mathematics & Computer Science Emory University Atlanta, GA 30322, USA
^c Collège de France, Paris

Аннотация: Let $k$ be a global field of characteristic not 2. We prove a local-global principle for the existence of self-dual normal bases, and more generally for the isomorphism of $G$-trace forms, for $G$-Galois algebras over $k$.

Ключевые слова: Hasse principle, $G$-trace forms, Galois algebras, induction-restriction, Burnside rings.

УДК: 512.7

MSC: 11E12, 11E04, 20C05

Поступило в редакцию: 16.02.2012

Язык публикации: английский

DOI: 10.4213/im8011