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On the Gras Conjecture for Imaginary Quadratic Fields |
Canad. Math. Bull. 56(2013), 148-160
Published:2011-08-25
Printed: Mar 2013
Printed: Mar 2013
- Hassan Oukhaba,
- Stéphane Viguié,
Abstract
In this paper we extend K. Rubin's methods to prove the Gras conjecture
for abelian extensions of a given imaginary quadratic field $k$ and
prime numbers $p$ that divide the number of roots of unity in $k$.
| Keywords: | elliptic units, Stark units, Gras conjecture, Euler systems |
| MSC Classifications: |
11R27 - Units and factorization 11R29 - Class numbers, class groups, discriminants 11G16 - Elliptic and modular units [See also 11R27] |