%0 Journal Article %T On Gras conjecture for imaginary quadratic fields %A Hassan Oukhaba %A St¨¦phane Vigui¨¦ %J Mathematics %D 2011 %I arXiv %R 10.4153/CMB-2011-173-1 %X 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. %U http://arxiv.org/abs/1102.0903v1