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This article is cited in 6 scientific papers (total in 6 papers)
Hasse principle for $G$-trace forms
E. Bayer-Fluckigera, R. Parimalab, J-P. Serrec a 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.
Received: 16.02.2012
Citation:
E. Bayer-Fluckiger, R. Parimala, J-P. Serre, “Hasse principle for $G$-trace forms”, Izv. RAN. Ser. Mat., 77:3 (2013), 5–28; Izv. Math., 77:3 (2013), 437–460
Linking options:
https://www.mathnet.ru/eng/im8011https://doi.org/10.1070/IM2013v077n03ABEH002643 https://www.mathnet.ru/eng/im/v77/i3/p5
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Abstract page: | 510 | Russian version PDF: | 198 | English version PDF: | 4 | References: | 51 | First page: | 32 |
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