Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field

DOI10.2140/PJM.2005.218.17zbMath1152.11345OpenAlexW2146284940MaRDI QIDQ859801

Ali Mouhib, Abdelmalek Azizi

Publication date: 19 January 2007

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2005.218.17

zbMATH Keywords

biquadratic fieldquadratic subextensions of maximal abelian \(2\)-extension

Mathematics Subject Classification ID

Units and factorization (11R27) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (5)

On the Hilbert 2-class field of some quadratic number fields ⋮ The Iwasawa invariant \(\mu\) vanishes for \(\mathbb{Z}_2\)-extensions of certain real biquadratic fields ⋮ On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions ⋮ Real quadratic number fields with metacyclic Hilbert $2$-class field tower ⋮ Capitulation of the 2-class group of some cyclic number fields with large degree

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