The 2-Rank of the Class Group of Imaginary Bicyclic Biquadratic Fields
The 2-Rank of the Class Group of Imaginary Bicyclic Biquadratic Fields
Abstract A formula is obtained for the rank of the 2-Sylow subgroup of the ideal class group of imaginary bicyclic biquadratic fields. This formula involves the number of primes that ramify in the field, the ranks of the 2-Sylow subgroups of the ideal class groups of the quadratic subfields and …