Ramification invariants and torsion Galois module structure in number fields

DOI10.1016/0021-8693(84)90135-2zbMath0569.12006OpenAlexW2056361110MaRDI QIDQ1061173

Stephen U. Chase

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90135-2

zbMATH Keywords

Galois module structuredifferentdiscriminantGalois modulesrings of algebraic integersStickelberger elementsramification invariantstorsion Galois module

Mathematics Subject Classification ID

Galois theory (11R32) Group rings (16S34) Integral representations of finite groups (20C10) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Ramification and extension theory (11S15)

Related Items (5)

Galois module structure of the square root of the inverse different in even degree tame extensions of number fields ⋮ The Hermitian structure of rings of integers in odd degree abelian extensions ⋮ On the square root of the inverse different ⋮ On the self-duality of rings of integers in tame and abelian extensions ⋮ Self-duality and torsion Galois modules in number fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic resolutions for finite groups
• Structure galoisienne des anneaux d'entiers d'extensions sauvagement ramifiées. II
• On Fröhlich's conjecture for rings of integers of tame extensions
• On the self-duality of a ring of integers as a Galois module
• Galois module structure of elementary abelian extensions
• Separable algebras over commutative rings
• Arithmetic and Galois module structure for tame extensions.

This page was built for publication: Ramification invariants and torsion Galois module structure in number fields