Capitulation des 2-classes d'idéaux de Q(\sqrt 2,\sqrt d) où d est un entier naturel sans facteurs carrés

DOI10.4064/aa109-1-2zbMath1077.11078OpenAlexW2065180812MaRDI QIDQ4484437

Ali Mouhib, Abdelmalek Azizi

Publication date: 12 June 2003

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa109-1-2

zbMATH Keywords

capitulationclass groupHilbert class field

Mathematics Subject Classification ID

Units and factorization (11R27) Class field theory (11R37)

Related Items (9)

On the 2-class group of real multiquadratic fields ⋮ On unramified Galois $2$-groups over $\mathbb Z_2$-extensions of real quadratic fields ⋮ LE 2-RANG DU GROUPE DE CLASSES DE CERTAINS CORPS BIQUADRATIQUES ET APPLICATIONS ⋮ A note on semidihedral 2-class field towers and \(\mathbb {Z}_{2}\)-extensions ⋮ On the \(p\)-class tower of a \(\mathbb Z_p\)-extension ⋮ Capitulation of 2-class ideals of \(\mathbb Q\left(\sqrt{-pq(2+\sqrt 2)}\right)\) where \(p\equiv q\equiv {\pm 5} \bmod 8\) ⋮ On the parity of the class number of multiquadratic number fields ⋮ Capitulation of the 2-class group of some cyclic number fields with large degree ⋮ On the Hilbert $2$-class field tower of some imaginary biquadratic number fields

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