THE STRUCTURE OF THE 2-SYLOW SUBGROUPS OF THE IDEAL CLASS GROUPS OF IMAGINARY BICYCLIC BIQUADRATIC FIELDS
In this article a method for determining the structure of the 2-Sylow subgroup of the class group of an imaginary bicyclic biquadratic number field is described. As an application of our method, the structure of the 2-class group of all known imaginary bicyclic biquadratic extensions of Q with class numbers 8 and 16 is determined.
class group, biquadratic fields.