On PAC extensions and scaled trace forms

被引：1

作者：

Bary-Soroker, Lior ^{[1
]}

Kelmer, Dubi ^{[1
]}

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2010年 / 175卷 / 01期

关键词：

ALGEBRAIC NUMBER-FIELDS; RINGS;

D O I：

10.1007/s11856-010-0004-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：12

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