arXiv:1102.0903 [math.NT]AbstractReferencesReviewsResources
On Gras conjecture for imaginary quadratic fields
Hassan Oukhaba, Stéphane Viguié
Published 2011-02-04Version 1
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.
Comments: accepted for publication in Canadian Mathematical Bulletin
Categories: math.NT
Keywords: imaginary quadratic field, gras conjecture, abelian extensions, extend methods, prime numbers
Tags: journal article
Related articles: Most relevant | Search more
Heuristics for $p$-class towers of imaginary quadratic fields, with an Appendix by Jonathan Blackhurst
On the classical main conjecture for imaginary quadratic fields
arXiv:1409.3177 [math.NT] (Published 2014-09-10)
Averages and moments associated to class numbers of imaginary quadratic fields