The Galois structure of the square root of the inverse different

DOI10.1007/BF02571523zbMath0713.11078MaRDI QIDQ749604

Boas Erez

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174314

zbMATH Keywords

square root of the inverse differentgeneralized Jacobi sumssecond Adams operation on the group of virtual charactersself-dual Hermitian form

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (18)

Galois structure in weakly ramified extensions of \(\mathbb Q\) ⋮ Explicit integral Galois module structure of weakly ramified extensions of local fields ⋮ Galois module structure of the square root of the inverse different in even degree tame extensions of number fields ⋮ Realizable classes and embedding problems ⋮ Sufficient conditions for large Galois scaffolds ⋮ Descent of vector bundles under wildly ramified extensions ⋮ On the Galois module structure of the square root of the inverse different in abelian extensions ⋮ Computing isomorphisms between lattices ⋮ On the realizable classes of the square root of the inverse different in the unitary class group ⋮ On the square root of the inverse different ⋮ Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes ⋮ On the square root of the inverse different ⋮ CONSTRUCTION OF SELF-DUAL INTEGRAL NORMAL BASES IN ABELIAN EXTENSIONS OF FINITE AND LOCAL FIELDS ⋮ 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 ⋮ On the self-duality of rings of integers in tame and abelian extensions ⋮ Self-dual integral normal bases and Galois module structure ⋮ Sur la structure galoisienne relative de puissances de la différente et idéaux de stickelberger

Cites Work

• On normal integral bases of local fields
• Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras)
• The Galois structure of the trace form in extensions of odd prime degree
• Galois cohomology of ambiguous ideals
• An elementary proof of a lemma by Gaschütz
• Arithmetic and Galois module structure for tame extensions.
• Normal Bases in Galois Extensions of Number Fields
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