scientific article; zbMATH DE number 7163168

zbMath1431.11118MaRDI QIDQ5214768

Abdelkader Zekhnini, Mohammed Taous, Abdelmalek Azizi

Publication date: 5 February 2020

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol38-4/7.pdf

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zbMATH Keywords

capitulationquadratic fields2-class groupbiquadratic fieldsfundamental systems of unitsmultiquadratic CM-fieldsabsolute genus fields

Mathematics Subject Classification ID

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

Related Items (1)

ON THE -RANK OF CLASS GROUPS OF DIRICHLET BIQUADRATIC FIELDS

Cites Work

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• Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\)
• A principal ideal theorem in the genus field
• On the strongly ambiguous classes of some biquadratic number fields
• Sur la capitulation des 2-classes d'idéaux de
• Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields ${\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$
• ON THE STRONGLY AMBIGUOUS CLASSES OF 𝕜/ℚ(i) WHERE $\mathds{k} = {\mathbb Q}(\sqrt{2p_{1}p_{2}, i})$

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