On the equivariant main conjecture for imaginary quadratic fields

Zusammenfassung

In this paper we first prove the main conjecture for imaginary quadratic fields for all prime numbers p, improving slightly earlier results by Rubin. From this we deduce the equivariant main conjecture in the case that a certain mu-invariant vanishes. For prime numbers p X 6 which split in K, we can prove the equivariant main conjecture using a theorem by Gillard.