Abstract
In this article, we give a method to compute the rank of the subgroup of central units of ℤ G, for a finite metacyclic group, G, by means of ℚ-classes and ℝ-classes. Then we construct a multiplicatively independent set 𝒰 ⊂ 𝒵(U(ℤ C p, q )) and by applying our results, we prove that 𝒰 generates a subgroup of finite index.
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