Normal integral bases for 𝐴₄ extensions of the rationals-Reference-Cited by-同舟云学术

Normal integral bases for 𝐴₄ extensions of the rationals

Published:2005-09-01 Issue:253 Volume:75 Page:485-496
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Cougnard Jean

Abstract

We give an algorithm for constructing normal integral bases of tame Galois extensions of the rationals with group A 4 A_4 . Using earlier works we can do the same until degree 15 15 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2006-75-253/S0025-5718-05-01779-5/S0025-5718-05-01779-5.pdf

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4. Construction de base normale pour les extensions de 𝑄 à groupe 𝐷₄;Cougnard, Jean;J. Th\'{e}or. Nombres Bordeaux,2000

5. Construction de bases normales pour les extensions galoisiennes absolues à groupe de Galois quaternionien d’ordre 12;Cougnard, Jean;J. Th\'{e}or. Nombres Bordeaux,2002

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