On PAC extensions and scaled trace forms |
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Authors: | Lior Bary-Soroker Dubi Kelmer |
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Institution: | 1.The Raymond and Beverly Sackler School of Mathematical Sciences,Tel Aviv University,Ramat Aviv, Tel Aviv,Israel |
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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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