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math.NT2011
On Gras conjecture for imaginary quadratic fields
Hassan Oukhaba, Stéphane Viguié
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 r…
math.NT2011★ 3 cited
The Gras conjecture in function fields by Euler systems
Hassan Oukhaba, Stéphane Viguié
We use Euler systems to prove the Gras conjecture for groups generated by Stark units in global function fields. The techniques applied here are classical and go back to Thaine, Ko…