This article is cited in 6 papers

Hasse principle for $G$-trace forms

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

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

Abstract: 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 $k$.

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

UDC: 512.7

MSC: 11E12, 11E04, 20C05

Received: 16.02.2012

Language: English

DOI: 10.4213/im8011

 English version: Izvestiya: Mathematics, 2013, 77:3, 437–460

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