On Gras conjecture for imaginary quadratic fields

Autor:	Oukhaba, Hassan, Viguié, Stéphane
Rok vydání:	2011
Předmět:	Mathematics - Number Theory 11R27 11R29 (Primary) 11G16 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.4153/CMB-2011-173-1
Popis:	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. Comment: accepted for publication in Canadian Mathematical Bulletin
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1102.0903 Zobrazit plný text záznamu View this record from Arxiv