On a ratio between relative class numbers

DOI10.1007/BF02571442zbMath0761.11039MaRDI QIDQ1204298

Kuniaki Horie

Publication date: 3 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174455

zbMATH Keywords

Galois extensionsideal class groupclass field theoryCM-fieldsnorm maprelative class numbersdenominator

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (5)

The class number one problem for some non-abelian normal CM-fields of degree 48 ⋮ Class number one problem for normal CM-fields ⋮ The class number one problem for some non-abelian normal CM-fields ⋮ Class number problem for imaginary cyclic number fields ⋮ Class numbers of imaginary abelian number fields

Cites Work

• Remarks on unit indices of imaginary abelian number fields. II
• On the Stickelberger ideal and the circular units of an abelian field
• On the relative class number of finite algebraic number fields
• CM-fields and exponents of their ideal class groups
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