UNIT GROUPS OF SOME MULTIQUADRATIC NUMBER FIELDS

Auteurs-es

  • Abdelghani LARHLID LMSD, Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdallah University, Fez, Morocco
  • Moha Ben Taleb EL HAMAM Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz, Fez, Morocco
  • Abdelhakim Chillali Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, Taza, Morocco

DOI :

https://doi.org/10.5269/bspm.77837

Résumé

Let \( p\), \(q \) and \( s \) be three different prime integers such that \( p \equiv 1 \pmod{8} \), \( q \equiv 3 \pmod{8} \) and \( s \equiv 7 \pmod{8} \), with\(\left( \frac{p}{q} \right) = \left( \frac{p}{s} \right) = \left( \frac{q}{s} \right) = -1\). In this paper, we investigate the unit groups of the number fields of the form \(\mathbb{L^+} = \mathbb{Q}(\sqrt{2}, \sqrt{pq}, \sqrt{ps})\)

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Publié

2025-09-30

Numéro

Vol. 43 (2025)

Rubrique

Research Articles

Licence

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Comment citer

LARHLID, A., EL HAMAM, M. B. T. ., & Chillali , A. (2025). UNIT GROUPS OF SOME MULTIQUADRATIC NUMBER FIELDS. Boletim Da Sociedade Paranaense De Matemática, 43, 1-6. https://doi.org/10.5269/bspm.77837
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