Galois module structure of the square root of the inverse different in even degree tame extensions of number fields

DOI10.1016/j.jalgebra.2016.06.035zbMath1407.11129OpenAlexW2514346392MaRDI QIDQ324215

Stéphane Vinatier, Luca Caputo

Publication date: 10 October 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.06.035

zbMATH Keywords

root numbersbinary tetrahedral Galois extensionFröhlich group determinantsHasse-Davenport theoremsquare root of the inverse differentStickelberger theoremtamely ramified extensions

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Integral representations (11S23) Other number fields (11R21) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Ramification and extension theory (11S15)

Related Items (6)

On the Galois-Gauss sums of weakly ramified characters ⋮ Computing isomorphisms between lattices ⋮ On the square root of the inverse different ⋮ On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification ⋮ 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

Uses Software

• PARI/GP

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