On the square root of the inverse different

DOI10.5802/jtnb.409zbMath1048.11088OpenAlexW2090190320MaRDI QIDQ1424593

Stéphane Vinatier

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_393_0

Mathematics Subject Classification ID

Galois theory (11R32) Lattices and convex bodies (number-theoretic aspects) (11H06) Algebraic number theory computations (11Y40) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) (K_0) of group rings and orders (19A31)

Related Items (6)

Galois module structure of the square root of the inverse different in even degree tame extensions of number fields ⋮ Sufficient conditions for large Galois scaffolds ⋮ 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 ⋮ Explicit construction of self-dual integral normal bases for the square-root of the inverse different

Uses Software

• PARI/GP

Cites Work

• The Galois structure of the square root of the inverse different
• Unramified Kummer extensions of prime power degree
• 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
• Hermitian modules in Galois extensions of number fields and Adams operations
• On the Hermitian structure of the square root of the inverse different
• Galois structure in weakly ramified extensions of \(\mathbb Q\)
• Une Famille Infinie d'Extensions Faiblement Ramifiées
• An efficient algorithm for the computation of Galois automorphisms
• Sur la décomposition des algèbres de groupes
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