Index formulae for integral Galois modules

DOI10.1112/jlms/jdt033zbMath1290.11152arXiv1105.3876OpenAlexW2013772722MaRDI QIDQ2869833

Alex Bartel, Bart de Smit

Publication date: 7 January 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3876

zbMATH Keywords

class numberMordell-Weil grouprepresentation theoryTate-Shafarevich groupclass number formularegulator constantTamagawa numberGalois moduleBrauer relation

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Integral representations of finite groups (20C10) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Frobenius induction, Burnside and representation rings (19A22) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (5)

On Orders of Tame Kernels in Quaternion Extension of Number Fields ⋮ Brauer relations in finite groups ⋮ CLASS NUMBER FORMULA FOR DIHEDRAL EXTENSIONS ⋮ Norm relations and computational problems in number fields ⋮ Higher class numbers in extensions of number fields

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