ON THE STRONGLY AMBIGUOUS CLASSES OF 𝕜/ℚ(i) WHERE $\mathds{k} = {\mathbb Q}(\sqrt{2p_{1}p_{2}, i})$

DOI10.1142/S1793557114500211zbMath1292.11119arXiv1503.03530OpenAlexW3103130955MaRDI QIDQ5417515

Abdelkader Zekhnini, Abdelmalek Azizi, Mohammed Taous

Publication date: 21 May 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03530

zbMATH Keywords

capitulationquadratic fieldHilbert class fieldgenus fieldbiquadratic field\(2\)-class groupambiguous ideal classes

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (2)

Unnamed Item ⋮ Capitulation in the absolutely abelian extensions of some number fields. II

Cites Work

• Unit indices of imaginary abelian number fields of type \((2,2,2)\)
• Principal ideal theorems in the genus field for absolutely abelian extensions
• Construction of the 2-Hilbert class field tower of some biquadratic fields
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• A principal ideal theorem in the genus field
• Über Den Bizyklischen Biquadratischen Zahlkörper

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