On Gras conjecture for imaginary quadratic fields

Abstract

In this paper we extend methods of Rubin to prove the Gras conjecture for abelian extensions of a given imaginary quadratic field k and prime numbers p which divide the number of roots of unity in k.

arXiv commentaccepted for publication in Canadian Mathematical Bulletin

References in corpus (1)

• The Gras conjecture in function fields by Euler systems