On the strongly ambiguous classes of some biquadratic number fields

DOI10.21136/MB.2016.0022-14zbMath1413.11120arXiv1503.01992MaRDI QIDQ2828796

Abdelkader Zekhnini, Abdelmalek Azizi, Mohammed Taous

Publication date: 26 October 2016

Published in: MATHEMATICA BOHEMICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01992

zbMATH Keywords

capitulationquadratic fieldbiquadratic fieldfundamental system of units\(2\)-class groupabsolute genus fieldmultiquadratic CM-fieldrelative genus field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (11)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ Unit groups of some multiquadratic number fields and 2-class groups ⋮ Unnamed Item ⋮ ON THE -RANK OF CLASS GROUPS OF DIRICHLET BIQUADRATIC FIELDS ⋮ Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields ⋮ The 4-Rank of the Class Group of Some Real Pure Quartic Number Fields ⋮ On the rank of the 2-class group of some imaginary triquadratic number fields ⋮ Capitulation in the absolutely abelian extensions of some number fields. II ⋮ Unit groups and Iwasawa lambda invariants of some multiquadratic number fields ⋮ 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications ⋮ On the $2$-class group of some number fields with large degree

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