eva.bayer@epfl.ch

Submission: 2007, Sep 29

Let $k$ be a field of characteristic $\not=2$, and let $G$ be a finite group. The aim of this paper is to give a cohomological criterion for the isomorphism of multiples of trace forms of G--Galois algebras over $k$. The proof uses results concerning multiples of hermitian forms over division algebras with involution that are of independent interest.

2000 Mathematics Subject Classification: 11E72

Keywords and Phrases: G-forms, hermitian forms, Galois cohomology of linear algebraic groups, self-dual normal bases

Full text: dvi.gz 23 k, dvi 55 k, ps.gz 383 k, pdf.gz 119 k, pdf 133 k.

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