Units of certain imaginary abelian number fields over \(\mathbb Q\). (Unités de certains corps de nombres imaginaires et abéliens sur \(\mathbb Q\).) (French) Zbl 1041.11072

Azizi, Abdelmalek

Ann. Sci. Math. Qué. 23, No. 1, 15-21 (1999).

Summary: Let \(K\) be an imaginary abelian number field and \(K_{0}\) the maximal real subfield of \(K\). We give a criterion which determines a fundamental system of units of \(K\) by using a fundamental system of units of \(K_{0}\).

MSC:

11R27	Units and factorization
11R20	Other abelian and metabelian extensions