Capitulation of the 2-class group of some cyclic number fields with large degree

DOI10.1002/mana.201500355zbMath1401.11148OpenAlexW2293133308MaRDI QIDQ2830674

Ali Mouhib

Publication date: 28 October 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500355

zbMATH Keywords

class groupunit groupcapitulation problemIwasawa theory of \(\mathbb{Z}_2\)-extensions

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Cites Work

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• Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field
• A note on capitulation problem for number fields. I, II
• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields
• On Iwasawa \(\lambda_p\)-invariants of relative real cyclic extensions of degree \(p\)
• Capitulation des 2-classes d'idéaux de certains corps biquadratiques cycliques
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• Kuroda's class number formula
• Capitulation des 2-classes d'idéaux de Q(\sqrt 2,\sqrt d) où d est un entier naturel sans facteurs carrés
• Real Quadratic Number Fields with 2-Class Group of Type (2,2).