On PAC extensions and scaled trace forms

作者：Bary Soroker Lior^*; Kelmer Dubi

来源：Israel Journal of Mathematics, 2010, 175(1): 113-124.

DOI：10.1007/s11856-010-0004-2

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.

• 出版日期2010-1