Fields \(\mathbb{Q}(i,\sqrt{2},\sqrt{p_1},\ldots,\sqrt{p_n})\) with cyclic 2-class group

DOI10.1007/s10474-023-01365-zOpenAlexW4386421198MaRDI QIDQ6057431

Said Essahel, Ali Mouhib

Publication date: 4 October 2023

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

Full work available at URL: https://doi.org/10.1007/s10474-023-01365-z

zbMATH Keywords

class groupIwasawa invariantunitclass fieldmultiquadratic number fieldfundamental system of units\(\mathbb{Z}_2\)-extension

Mathematics Subject Classification ID

Quadratic extensions (11R11) Other number fields (11R21) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (1)

Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields

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