The Hermitian structure of rings of integers in odd degree abelian extensions

DOI10.1016/0022-314X(92)90030-SzbMath0752.11049WikidataQ114215428 ScholiaQ114215428MaRDI QIDQ1185821

Boas Erez, Jorge F. Morales

Publication date: 28 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Galois groupHermitian formsrings of integerstrace formGalois moduletamely ramified extensioninverse differentequivariant genus

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (4)

On the Galois module structure of the square root of the inverse different in abelian extensions ⋮ On the realizable classes of the square root of the inverse different in the unitary class group ⋮ Explicit construction of self-dual integral normal bases for the square-root of the inverse different ⋮ Minimal polynomials of integral symmetric matrices

Cites Work

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• Rings of integers and trace forms for tame extensions of odd degree
• Ramification invariants and torsion Galois module structure in number fields
• The Galois structure of the trace form in extensions of odd prime degree
• Hermitian modules in Galois extensions of number fields and Adams operations
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Forme Trace et Ramification Sauvage
• Normal Bases in Galois Extensions of Number Fields

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