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

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Abstract

Let \(n\) be an integer \(\geq 1\) and \(p_1\), . . . , \(p_n\) distinct odd prime integers. In this article, we give the list of all imaginary multiquadratic number fields \( K_n=\mathbb{Q}(i,\sqrt 2,\sqrt{p_1},\ldots ,\sqrt{p_n})\) that have a cyclic 2-class group.

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Authors and Affiliations

  1. Sidi Mohammed Ben Abdellah University, Science and Engineering Laboratory, Polydisciplinary Faculty of Taza, Taza-Gare PB 1223, Taza, Morocco

    S. Essahel & A. Mouhib

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  1. S. Essahel
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  2. A. Mouhib
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Correspondence to S. Essahel.

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Essahel, S., Mouhib, A. Fields \(\mathbb{Q}(i, \sqrt{2},\sqrt{p_1},\ldots ,\sqrt{p_n})\) with cyclic 2-class group. Acta Math. Hungar. 170, 499–509 (2023). https://doi.org/10.1007/s10474-023-01365-z

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  • DOI: https://doi.org/10.1007/s10474-023-01365-z

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