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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

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
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