The integers of a cyclic quartic field

DOI10.1216/rmjm/1181073167zbMath0707.11078OpenAlexW2024848219MaRDI QIDQ919405

Richard H. Hudson, Kenneth S. Williams

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073167

zbMATH Keywords

cyclic quartic extensionexplicit integral basis

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16)

Related Items (8)

Hopf-Galois module structure of quartic Galois extensions of \(\mathbb{Q}\) ⋮ Natural orders for asymmetric space-time coding: minimizing the discriminant ⋮ Icosahedral invariants and a construction of class fields via periods of \(K3\) surfaces ⋮ On the tame kernels of imaginary cyclic quartic fields with class number one ⋮ Quartic fields with large class numbers ⋮ Explicit construction of integral bases of radical function fields ⋮ The shapes of Galois quartic fields ⋮ On the \(p\)-rank of tame kernel of number fields

Cites Work

• Cyclic quartic fields and genus theory of their subfields
• Some contributions to the theory of cyclic quartic extensions of the rationals
• Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields

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