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Automorphism polynomials in cyclic cubic extensions

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Publication:1352637
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DOI10.1006/jnth.1996.0149zbMath0876.11048OpenAlexW2008936491WikidataQ57918173 ScholiaQ57918173MaRDI QIDQ1352637

Robin J. Chapman

Publication date: 28 October 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0149

zbMATH Keywords

Galois groupcubic extensionsautomorphism polynomialssextic extensions


Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Polynomials in number theory (11C08) Cubic and quartic extensions (11R16) Other abelian and metabelian extensions (11R20)


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HT90 and ``simplest number fields, A family of cyclic cubic polynomials whose roots are systems of fundamental units., On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields, Cyclic cubic field with explicit Artin symbols, ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS, On the simplest sextic fields and related Thue equations, On the Simplest Quartic Fields and Related Thue Equations, Generalized Kummer theory and its applications, QUINTIC POLYNOMIALS OF HASHIMOTO–TSUNOGAI, BRUMER AND KUMMER, On cubic Galois field extensions



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