Two classes of number fields with a non-principal Euclidean ideal

DOI10.1142/S1793042116500688zbMath1415.11159arXiv1706.05588MaRDI QIDQ2805973

Catherine M. Hsu

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1706.05588

zbMATH Keywords

Hilbert class fieldcyclic quartic fieldcyclic class groupbiquadratic quartic fieldEuclidean ideals

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Totally real fields (11R80)

Related Items (3)

Non-Pólya bi-quadratic fields with an Euclidean ideal class ⋮ Non-principal Euclidean ideal class in a family of biquadratic fields with the class number two ⋮ Biquadratic fields having a non-principal Euclidean ideal class

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• EXAMPLES OF NORM-EUCLIDEAN IDEAL CLASSES
• Euclidean Rings of Algebraic Integers

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