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scientific article; zbMATH DE number 7034039

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7034039

Statements

scholarly article

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Abdelmalek Azizi

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Abdelkader Zekhnini

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publication date

11 March 2019

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full work available at URL

http://www.spm.uem.br/bspm/pdf/vol34-2/Art7-2.pdf

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zbMATH Keywords

2-group

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metabelian 2-group

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capitulation

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Hilbert class fields

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MaRDI profile type

MaRDI publication profile

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Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\)

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Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields ${\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$

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On some metabelian 2-groups and applications I

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On the $2$-groups whose abelianizations are of type $(2, 4)$ and applications

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Real quadratic fields with abelian 2-class field tower

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Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\).

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On 2-class field towers of some imaginary quadratic number fields

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Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94

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Algebraic investigations of Hilbert's theorem 94, the principal ideal theorem and the capitulation problem

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Sur le 2-groupe des classes d'idéaux des corps quadratiques.

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4627536

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