Imaginary bicyclic biquadratic fields with the real quadratic subfield of class-number one

DOI10.1017/S0027763000000441zbMath0567.12004OpenAlexW1945272680MaRDI QIDQ3682571

Hideo Yokoi

Publication date: 1986

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000000441

zbMATH Keywords

real quadratic fieldsbicyclic biquadratic fieldclass-number one problem

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (1)

Construction of class fields over imaginary biquadratic fields

Cites Work

• A complete determination of the complex quadratic fields of class-number one
• Some results related to Hilbert's theorem 94
• A principal ideal theorem in the genus field
• Linear forms in the logarithms of algebraic numbers
• On the Class Number of a Relatively Cyclic Number Field

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