On the Galois module structure of the square root of the inverse different in abelian extensions

DOI10.1016/j.jnt.2015.09.010zbMath1396.11127arXiv1407.4175OpenAlexW2229869314MaRDI QIDQ897578

Cindy (Sin Yi) Tsang

Publication date: 7 December 2015

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

Full work available at URL: https://arxiv.org/abs/1407.4175

zbMATH Keywords

square root of the inverse differentGalois moduleweakly ramifiedrealizable classes

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (7)

Realizable classes and embedding problems ⋮ On the realizable classes of the square root of the inverse different in the unitary class group ⋮ Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes ⋮ On the relative Galois module structure of rings of integers in tame extensions ⋮ On the square root of the inverse different ⋮ On the self-duality of rings of integers in tame and abelian extensions ⋮ Sur la structure galoisienne relative de puissances de la différente et idéaux de stickelberger

Cites Work

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• The Galois structure of the square root of the inverse different
• Explicit construction of self-dual integral normal bases for the square-root of the inverse different
• Integral Galois module structure of some Lubin-Tate extensions
• The Hermitian structure of rings of integers in odd degree abelian extensions
• Galois structure in weakly ramified extensions of \(\mathbb Q\)
• Trace forms and Stickelberger relations
• On the realizable classes of the square root of the inverse different in the unitary class group
• Galois modules and embedding problems.
• Galois module structure of abelian extensions.
• Adams operations and integral Hermitian-Galois representations
• Quadratic forms ‘à la’ local theory
• Integral Normal Bases in Galois Extensions of Local Fields

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