Abstract
Let p and q be two primes and $$\ell$$ be an odd positive square-free integer such that $$\ell \not \in \{1,p, q, pq\}$$ . In this paper we give the unit group of some number fields of the form $${\mathbb {Q}}(\sqrt{2},\sqrt{p}, \sqrt{q}, \sqrt{-\ell } )$$ .
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