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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

The computation of sextic fields with a quadratic subfield


Authors: A.-M. Bergé, J. Martinet and M. Olivier
Journal: Math. Comp. 54 (1990), 869-884
MSC: Primary 11Y40; Secondary 11R21, 11R29
MathSciNet review: 1011438
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Abstract: We describe four tables (one for each signature) of sixth-degree fields K containing a quadratic subfield k. The tables contain various information, including, for each possible discriminant $ {d_K}$ of K, a cubic polynomial which defines K/k, the discriminant of the quartic field $ \tilde k$ such that $ \tilde k/k$ is the quadratic extension corresponding to K/k, and the Galois group of the Galois closure $ N/\mathbb{Q}$ of $ K/\mathbb{Q}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1990-1011438-8
PII: S 0025-5718(1990)1011438-8
Article copyright: © Copyright 1990 American Mathematical Society