ID | 56020 |
FullText URL | |
Author |
Ghazi, Nour
University of Damascus, Faculty of Sciences, Department of Mathematics
|
Abstract | The main topic of this paper is to generalize the problem of Beckmann-Black for pronite groups. We introduce the Beckmann-Black problem for complete systems of finite groups and for unramified extensions. We prove that every Galois extension of profinite abelian group over a ψ-free field is the specialization of some tower of regular Galois extensions of the same group.
|
Keywords | Inverse Galois theory
algebraic covers
|
Note | Mathematics Subject Classication. Primary 12F12, Secondary 12E25, 14H30.
|
Published Date | 2018-01
|
Publication Title |
Mathematical Journal of Okayama University
|
Volume | volume60
|
Issue | issue1
|
Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
Start Page | 233
|
End Page | 240
|
ISSN | 0030-1566
|
NCID | AA00723502
|
Content Type |
Journal Article
|
Official Url | http://www.math.okayama-u.ac.jp/mjou/
|
language |
English
|
Copyright Holders | Copyright©2018 by the Editorial Board of Mathematical Journal of Okayama University
|
File Version | publisher
|
Refereed |
True
|
Submission Path | mjou/vol59/iss1/13
|