Geodesic
Hasse principle for $G$-trace forms
Izvestiya. Mathematics , Tome 77 (2013) no. 3, pp. 437-460

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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, induction-restriction, Burnside rings.
Mots-clés : Galois algebras 
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     author = {E. Bayer-Fluckiger and R. Parimala and J-P. Serre},
     title = {Hasse principle for $G$-trace forms},
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E. Bayer-Fluckiger; R. Parimala; J-P. Serre. Hasse principle for $G$-trace forms. Izvestiya. Mathematics , Tome 77 (2013) no. 3, pp. 437-460. http://geodesic.mathdoc.fr/item/IM2_2013_77_3_a1/