On unramified Galois 2-groups over \(\mathbb{Z}_2\)-extensions of some imaginary biquadratic number fields

DOI10.1007/S10474-024-01425-YMaRDI QIDQ6548005

S. Rouas, Ali Mouhib

Publication date: 31 May 2024

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Iwasawa module2-class groupimaginary biquadratic number field2-group rank

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Cites Work

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• On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
• On the rank of the 2-class group of some imaginary biquadratic number fields
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II
• On Γ-extensions of algebraic number fields
• Ideal class groups of cyclotomic number fields I
• Finite \Lambda -submodules of Iwasawa modules for a CM-field for p=2

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