UNIT GROUPS OF SOME MULTIQUADRATIC NUMBER FIELDS

Abdelghani LARHLID; Moha Ben Taleb  EL HAMAM; Abdelhakim Chillali

doi:10.5269/bspm.77837

UNIT GROUPS OF SOME MULTIQUADRATIC NUMBER FIELDS

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

Abstract

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 \(\mathbb{L^+} = \mathbb{Q}(\sqrt{2}, \sqrt{pq}, \sqrt{ps})\)