Mathematical Journal of Okayama University 60巻 1号
2018-01 発行
On the profinite abelian Beckmann-Black problem
Ghazi, Nour
University of Damascus, Faculty of Sciences, Department of Mathematics
Publication Date
2018-01
Abstract
The main topic of this paper is to generalize the problem of Beckmann-Black for pro nite groups. We introduce the Beckmann-Black problem for complete systems of finite groups and for unramified extensions. We prove that every Galois extension of profi nite abelian group over a ψ-free fi eld is the specialization of some tower of regular Galois extensions of the same group.
Keywords
Inverse Galois theory
algebraic covers
Comments
Mathematics Subject Classi cation. Primary 12F12, Secondary 12E25, 14H30.
ISSN
0030-1566
NCID
AA00723502
