(Received: 2005-01-21
)
(Received: 2005-01-21
)
David Brink, Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark; email: brink@math.ku.dk
Abstract/Résumé:
It is investigated when a cyclic \(p\)-class field of an imaginary quadratic number field can be embedded in an infinite pro-cyclic \(p\)-extension.
On donne des conditions pour qu’un \(p\)-corps de classes cyclique d’un corps de nombres quadratique imaginaire soit plongeable dans une \(p\)-extension pro-cyclique infinie.
Keywords:
AMS Subject Classification:
Galois theory
11R32
PDF(click to download):
On $mathbb{Z}_{p}$-embeddability of cyclic ${p}$-class fields