On PAC extensions and scaled trace forms

被引：0

作者：

Lior Bary-Soroker

Dubi Kelmer

机构：

[1] Tel Aviv University,The Raymond and Beverly Sackler School of Mathematical Sciences

来源：

Israel Journal of Mathematics | 2010年 / 175卷

关键词：

Galois Group; Open Subgroup; Trace Form; Separable Extension; Absolute Galois Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：113 / 124

页数：11

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