Galois structure in weakly ramified extensions of \(\mathbb Q\)

DOI10.1006/jnth.2001.2674zbMath0997.11098OpenAlexW4301223327MaRDI QIDQ1612527

Stéphane Vinatier

Publication date: 25 August 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2674

zbMATH Keywords

Galois moduleswild ramificationinverse different

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Ramification and extension theory (11S15)

Related Items (5)

Descent of vector bundles under wildly ramified extensions ⋮ On the Galois module structure of the square root of the inverse different in abelian extensions ⋮ On the square root of the inverse different ⋮ On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification ⋮ Self-dual integral normal bases and Galois module structure

Uses Software

• Magma
• PARI/GP

Cites Work

• The Galois structure of the square root of the inverse different
• Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras)
• Integral Galois module structure of some Lubin-Tate extensions
• On Fröhlich's conjecture for rings of integers of tame extensions
• Une Famille Infinie d'Extensions Faiblement Ramifiées
• An efficient algorithm for the computation of Galois automorphisms
• On the Galois Module Structure of Rings of Integers of Wild Abelian Extensions
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