11R32 — 2 articles found.

On $\mathbb{Z}_{p}$-embeddability of cyclic ${p}$-class fields

C. R. Math. Rep. Acad. Sci. Canada Vol. 27, (2), 2005 pp. 48–53
Vol.27 (2) 2005
David Brink Details
(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

Cauchy-Mirimanoff polynomials

C. R. Math. Rep. Acad. Sci. Canada Vol. 19 (2) 1997, pp. 51–57
Vol.19 (2) 1997
C. Helou Details
(Received: 1997-03-07 )
(Received: 1997-03-07 )

C. Helou

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords:

AMS Subject Classification: Polynomials, Polynomials (irreducibility; etc.), Galois theory 11C08, 11R09, 11R32

PDF(click to download): Cauchy-Mirimanoff polynomials