Galois module structure and rootnumbers for quaternion extensions of degree \(2^ n\).

DOI10.1016/0022-314X(80)90041-4zbMath0469.12002OpenAlexW1963542889MaRDI QIDQ1156833

Albrecht Froehlich

Publication date: 1980

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(80)90041-4

zbMATH Keywords

algebraic integersGalois module structurequaternion extensiontame extensionArtin rootnumbers

Mathematics Subject Classification ID

Galois theory (11R32) Cyclotomic extensions (11R18)

Related Items (3)

Un anneau d'entiers stablement libre et non libre ⋮ Construction of normal bases for absolute Galois extensions with quaternionic Galois group of order 12 ⋮ Module de Frobenius et structure galoisienne des anneaux d'entiers

Cites Work

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• Quelques théorèmes de base normale d'entiers
• Artin-root numbers and normal integral bases for quaternion fields
• The class groups of quaternion and dihedral 2‐groups
• Artin Root Numbers, Conductors, and Representations for Generalized Quaternion Groups
• Arithmetic and Galois module structure for tame extensions.

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