A note on unramified quaternion extensions over quadratic number fields.

DOI10.3792/PJAA.78.80zbMATH Open1049.11118OpenAlexW2032373573MaRDI QIDQ1848138

Akito Nomura

Publication date: 31 October 2002

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1148392679

zbMATH Keywords

embedding problemsunramified quaternion extensionsinverse Galois problems

Mathematics Subject Classification ID

Other number fields (11R21) Inverse Galois theory (12F12) Class numbers, class groups, discriminants (11R29)

Cites Work

• On the class numbers of certain Hilbert class fields
• Unramified quaternion extensions of quadratic number fields
• Notes on the existence of certain unramified 2-extensions
• Über das Einbettungsproblem der algebraischen Zahlentheorie

Related Items (4)

On wild ramification in quaternion extensions ⋮ Unramified quaternion extensions of quadratic number fields ⋮ On quaternion algebras over some extensions of quadratic number fields ⋮ A note on unramified quadratic extensions over algebraic number fields

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