E. Bayer-Fluckiger and R. Parimala: Galois Algebras, Hasse Principle and Induction--Restriction Methods

eva.bayer@epfl.ch, parimala@mathcs.emory.edu

Submission: 2011, Sep 19

The aim of this paper is to prove a local-global principle for the existence of self-dual normal bases. The proof involves a restriction-induction result for G-quadratic forms (provided G has the "odd determinant property") that is of independent interest.

2010 Mathematics Subject Classification: 20C15 11E12 (11E04)

Keywords and Phrases: G-quadratic forms, induction-restriction methods, odd determinant property, G-Galois algebras, self-dual normal bases, Hasse principle.

Full text: dvi.gz 46 k, dvi 128 k, ps.gz 547 k, pdf.gz 214 k, pdf 236 k.

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