Self-dual integral normal bases and Galois module structure

DOI10.1112/S0010437X12000851zbMath1292.11128arXiv1007.0665OpenAlexW2025668327MaRDI QIDQ2841770

Erik Jarl Pickett, Stéphane Vinatier

Publication date: 30 July 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0665

zbMATH Keywords

Galois moduleDwork's power seriesinverse differentGalois Gauss sumself-dual integral normal basisweakly ramified extension

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) Other abelian and metabelian extensions (11R20)

Related Items (5)

The epsilon constant conjecture for higher dimensional unramified twists of (1) ⋮ Equivariant epsilon constant conjectures for weakly ramified extensions ⋮ Galois module structure of the square root of the inverse different in even degree tame extensions of number fields ⋮ On the Galois-Gauss sums of weakly ramified characters ⋮ On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification

Cites Work

• 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
• Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras)
• On Fröhlich's conjecture for rings of integers of tame extensions
• Galois structure in weakly ramified extensions of \(\mathbb Q\)
• On the zeta function of a hypersurface. II
• CONSTRUCTION OF SELF-DUAL INTEGRAL NORMAL BASES IN ABELIAN EXTENSIONS OF FINITE AND LOCAL FIELDS
• Galois module structure in weakly ramified 3-extensions

This page was built for publication: Self-dual integral normal bases and Galois module structure