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

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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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Acknowledgements

The authors are very grateful to the reviewer for his/her careful and meticulous reading of the paper.

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Authors and Affiliations

  1. Mathematics Department, Sciences Faculty, Mohammed First University, Oujda, Morocco

    Abdelmalek Azizi & Mohamed Mahmoud Chems-Eddin

  2. Mathematics Department, Pluridisciplinary faculty, Mohammed First University, Nador, Morocco

    Abdelkader Zekhnini

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  1. Abdelmalek Azizi
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  2. Mohamed Mahmoud Chems-Eddin
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  3. Abdelkader Zekhnini
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Correspondence to Mohamed Mahmoud Chems-Eddin.

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Azizi, A., Chems-Eddin, M.M. & Zekhnini, A. On the rank of the 2-class group of some imaginary triquadratic number fields. Rend. Circ. Mat. Palermo, II. Ser 70, 1751–1769 (2021). https://doi.org/10.1007/s12215-020-00589-0

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