Normal integral bases for 𝐴₄ extensions of the rationals

DOI10.1090/S0025-5718-05-01779-5zbMath1093.11063MaRDI QIDQ5713242

Jean Cougnard

Publication date: 12 December 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

projective moduleLagrange resolvent

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

Computing generators of free modules over orders in group algebras.

Uses Software

• PARI/GP

Cites Work

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• Modules over finite groups
• Stably free rings of integers over \(\mathbb{Z}[H_8\times C_2\)]
• Construction of normal bases for absolute Galois extensions with quaternionic Galois group of order 12
• Sur l'arithmétique des extensions galoisiennes à groupe de Galois diédral d'ordre \(2p\)
• Critère de décomposition d'une extension de Kummer sur un sous-corps du corps de base
• Class Groups of Integral Group Rings
• Arithmétique des corps abéliens du troisième degré
• Construction of a normal basis for extensions of \(\mathbb Q\) with group \(D_4\)

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