Imaginary cyclic fields of degree \(p-1\) whose relative class numbers are divisible by \(p\)

DOI10.3792/pjaa.77.55zbMath1006.11063OpenAlexW2064177984MaRDI QIDQ5945214

Yasuhiro Kishi

Publication date: 26 February 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.77.55

zbMATH Keywords

cyclic fieldFrobenius grouprelative class number

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (1)

On the Sylow \(p\)-subgroups of the ideal class groups of some imaginary cyclic fields of degree \(p-1\)

Cites Work

• Unnamed Item
• On the construction of certain number fields
• On class numbers of cyclic quartic fields
• Corps résolubles et divisibilité de nombres de classes d'idéaux
• On fundamental units of real quadratic fields with norm \(+1\)
• On a family of quadratic fields whose class numbers are divisible by five
• Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957--58
• On the Class Number of Relative Quadratic Fields

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