A note on the splitting of the Hilbert class field

DOI10.1016/0022-314X(88)90062-5zbMath0633.12003MaRDI QIDQ1095970

Gary Cornell, Michael I. Rosen

Publication date: 1988

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

zbMATH Keywords

Galois groupramificationclass field

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37)

Related Items (4)

On orders in number fields: Picard groups, ring class fields and applications ⋮ Retracted: A note on number knots and the splitting of the Hilbert class field ⋮ On the splitting of the Hilbert class field ⋮ Computing the Hilbert class field of real quadratic fields

Cites Work

• The class group of an absolutely abelian \(\ell\)-extension
• Hilbert class fields and split extensions
• Extensions of the Hasse norm theorem
• On Class Field Towers and the Rank of Ideal Class Groups
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