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arXiv · 0705.3573

On PAC Extensions and Scaled Trace Forms

Lior Bary-Soroker·Dubi Kelmer
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Abstract

Any non-degenerate quadratic form over a Hilbertian field (e.g., a number field) is isomorphic to a scaled trace form. In this work we extend this result to more general fields. In particular, prosolvable and prime-to-p extensions of a Hilbertian field. The proofs are based on the theory of PAC extensions.

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Lior Bary-Soroker, Dubi Kelmer. 2007-08-29. On PAC Extensions and Scaled Trace Forms. https://arxiv.org/abs/0705.3573

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