On the capitulation in the genus field of an abelian extension of an imaginary quadratic field
The aim of this note is to generalize the Principal Ideal Theorem to the genus field of an abelian extension of a quadratic imaginary field \(k\). We use the complex multiplication theory to find explicit generators for ambiguous ideals in the genus field of some abelian extensions of \(k\).
scientific article; zbMATH DE number 1547376