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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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Article copyright: © Copyright 1990 American Mathematical Society