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Effective determination of the decomposition of the rational primes in a cubic field

Authors: Pascual Llorente and Enric Nart
Journal: Proc. Amer. Math. Soc. 87 (1983), 579-585
MSC: Primary 12A30; Secondary 12A50
MathSciNet review: 687621
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Abstract: The decomposition of the rational primes in a cubic field $ K$ is determined in terms of the coefficients of a defining polynomial of $ K$. As a consequence, the discriminant $ D$ of $ K$ is straightforwardly computed and the cubic fields with index $ i(K) = 2$ are easily characterized.

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Keywords: Cubic field, ramification, discriminant, index of a number field
Article copyright: © Copyright 1983 American Mathematical Society

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