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.
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