Rings of integers and trace forms for tame extensions of odd degree

DOI10.1007/BF01159963zbMath0723.11055OpenAlexW2027247347MaRDI QIDQ757475

Martin J. Taylor

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174094

zbMATH Keywords

trace mapHermitian formring of integersArtin root numbersgeneralized Swan modulestame Galois extension

Mathematics Subject Classification ID

Bilinear and Hermitian forms (11E39) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (2)

The trace form for tame, abelian extensions of number fields ⋮ The Hermitian structure of rings of integers in odd degree abelian extensions

Cites Work

• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• On Fröhlich's conjecture for rings of integers of tame extensions
• A logarithmic approach to classgroups of integral group rings
• Classification of Hermitian forms. VI: Group rings
• Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Locally free modules over arithmetic orders.
• Arithmetic and Galois module structure for tame extensions.
• Starke Approximation in algebraischen Gruppen. I.
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