On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$

DOI10.14712/1213-7243.2021.008OpenAlexW3186690797MaRDI QIDQ4959554

Abdelmalek Azizi, Abdelkader Zekhnini, Mohamed Mahmoud Chems-Eddin

Publication date: 16 September 2021

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03094

zbMATH Keywords

imaginary triquadratic number fields\(2\)-class group\(2\)-group rank

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (1)

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

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