Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 12A30, 12A50

Retrieve articles in all journals with MSC: 12A30, 12A50


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0687621-6
Keywords: Cubic field, ramification, discriminant, index of a number field
Article copyright: © Copyright 1983 American Mathematical Society