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Izvestiya: Mathematics, 2013, Volume 77, Issue 3, Pages 437–460
DOI: https://doi.org/10.1070/IM2013v077n03ABEH002643 (Mi im8011) 		 
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
English version PDF (365 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM2013v077n03ABEH002643
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
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 11E12, 11E04, 20C05
Language: English
Original paper language: English
Citation: E. Bayer-Fluckiger, R. Parimala, J-P. Serre, “Hasse principle for $G$-trace forms”, Izv. Math., 77:3 (2013), 437–460
Citation in format AMSBIB
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\paper Hasse principle for $G$-trace forms
\jour Izv. Math.
\yr 2013
\vol 77
\issue 3
\pages 437--460
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  • https://doi.org/10.1070/IM2013v077n03ABEH002643
  • https://www.mathnet.ru/eng/im/v77/i3/p5
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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