English

On Gras conjecture for imaginary quadratic fields

Number Theory 2012-06-05 v1

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.

Keywords

Cite

@article{arxiv.1102.0903,
  title  = {On Gras conjecture for imaginary quadratic fields},
  author = {Hassan Oukhaba and Stéphane Viguié},
  journal= {arXiv preprint arXiv:1102.0903},
  year   = {2012}
}

Comments

accepted for publication in Canadian Mathematical Bulletin

R2 v1 2026-06-21T17:21:43.285Z