On PAC extensions and scaled trace forms

Lior Bary-Soroker*, Dubi Kelmer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)113-124
Number of pages12
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Jan 2010


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