On Gras conjecture for imaginary quadratic fields

Details On Gras conjecture for imaginary quadratic fields On Gras conjecture for imaginary quadratic fields

2011-02-04

arxiv.org/abs/1102.0903v1

Mathematics

Number Theory

accepted for publication in Canadian Mathematical Bulletin

Scientific paper

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.

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