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The 2-class group of biquadratic fields. II

The 2-class group of biquadratic fields. II

We describe methods for determining the exact power of 2 dividing the class number of certain cyclic biquadratic number fields.In a recent article, we developed a relative genus theory for cyclic biquadratic fields whose quadratic subfields have odd class number; we considered the case in which the quadratic subfield is …