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.
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页码：113 / 124
页数：11
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