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arXiv · 1905.01225

On the rank of the $2$-class group of some imaginary triquadratic number fields

Abdelmalek Azizi·Mohamed Mahmoud Chems-Eddin·Abdelkader Zekhnini
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Abstract

Let $d$ be an odd square-free integer and $\zeta_8$ a primitive $8$-th root of unity. The purpose of this paper is to investigate the rank of the $2$-class group of the fields $L_d=\mathbb{Q}(\zeta_8,\sqrt{d})$.

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Abdelmalek Azizi, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini. 2019-05-03. On the rank of the $2$-class group of some imaginary triquadratic number fields. https://doi.org/10.1007/s12215-020-00589-0

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