On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\)

DOI10.1007/BF02844380zbMath0920.11076MaRDI QIDQ1284646

Abdelmalek Azizi

Publication date: 1 June 1999

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

class number formula2-class groupbiquadratic number fields

Mathematics Subject Classification ID

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

Related Items (9)

Sur une question de capitulation ⋮ Unit groups of some multiquadratic number fields and 2-class groups ⋮ The 2-class group of certain families of imaginary triquadratic fields ⋮ The structure of the second 2-class group of some special Dirichlet fields ⋮ On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\) ⋮ On the rank of the 2-class group of some imaginary triquadratic number fields ⋮ Group Theory and the Capitulation Problem for Some Number Fields ⋮ Unit groups and Iwasawa lambda invariants of some multiquadratic number fields ⋮ Note on the Hilbert 2-class field tower

Cites Work

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• Determination of certain real quadratic fields with class number two
• The genus fields of algebraic number fields
• Divisibility by 8 of the class number of quadratic fields whose 2-class group is cyclic, and biquadratic reciprocity
• Binary quadratic forms of determinant \(-pq\)
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
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• A Remark on the Class Field Tower^*
• Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers

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