Geodesic
The unit group of some fields of the form $\mathbb {Q}(\sqrt {2}, \sqrt {p}, \sqrt {q}, \sqrt {-l})$
Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 49-55
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Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv 3\pmod 8$ with $(p/q)=1$, and $l$ a positive odd square-free integer relatively prime to $p$ and $q$. In this paper we investigate the unit groups of number fields $\mathbb L=\mathbb {Q}(\sqrt {2}, \sqrt {p}, \sqrt {q}, \sqrt {-l})$.
Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv 3\pmod 8$ with $(p/q)=1$, and $l$ a positive odd square-free integer relatively prime to $p$ and $q$. In this paper we investigate the unit groups of number fields $\mathbb L=\mathbb {Q}(\sqrt {2}, \sqrt {p}, \sqrt {q}, \sqrt {-l})$.
DOI : 10.21136/MB.2023.0077-22
Classification : 11R04, 11R27, 11R29
Keywords: unit group; multiquadratic number fields; unit index 
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El Hamam, Moha Ben Taleb. The unit group of some fields of the form $\mathbb {Q}(\sqrt {2}, \sqrt {p}, \sqrt {q}, \sqrt {-l})$. Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 49-55. doi: 10.21136/MB.2023.0077-22

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