On trace forms of algebraic number fields

DOI10.1007/BF01236076zbMath0777.11009OpenAlexW1972860236MaRDI QIDQ5894753

Martin Epkenhans

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236076

zbMATH Keywords

quadratic formtrace formfield extensionétale algebra

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Quadratic forms over global rings and fields (11E12)

Related Items (6)

On trace forms of étale algebras and field extensions ⋮ Inequalities between Pythagoras numbers and algebraic ranks in Witt rings of fields ⋮ On trace forms of algebraic number fields ⋮ On PAC extensions and scaled trace forms ⋮ Characterization of Hermitian trace forms ⋮ The spinor genus of the integral trace

Cites Work

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• Extensions régulières de \({\mathbb{Q}}(T)\) de groupe de Galois \(\tilde A_ n\). (Regular extensions of \({\mathbb{Q}}(T)\) with Galois group \(\tilde A_ n)\)
• Trace forms of dyadic number fields
• On trace forms of algebraic function fields
• Algebraic number field extensions with prescribed trace form
• The Discriminant Matrices of An Algebraic Number Field
• On trace forms of algebraic number fields
• On trace forms of algebraic number fields

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