Embedding problems with ramification conditions
type: Item
instance of: scholarly article
title: Embedding problems with ramification conditions
zbMATH Open document ID: 0648.12007
DOI: 10.1007/BF01277064
author: Teresa Crespo
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: For a solvable embedding problem over a number field \(K\), given by a group extension with abelian kernel, we find in the present paper that there exists a solution field \(M\), such that the extension \(M | K\) has a reduced ramification set, whenever \(K\) satisfies a certain condition on ideal class number.
reviewed by: Teresa Crespo
Mathematics Subject Classification ID: 11R32
Mathematics Subject Classification ID: 11R34
zbMATH DE Number: 4057630
zbMATH Keywords: Galois theory
zbMATH Keywords: Kummer theory
zbMATH Keywords: Galois cohomology
zbMATH Keywords: étale cohomology
zbMATH Keywords: embedding problem
zbMATH Keywords: ramification
zbMATH Keywords: ideal class number
MaRDI profile type: Publication
cites work: Zur Existenz eigentlicher galoisscher Körper beim Einbettungsproblem für galoissche Algebren
cites work: Q3871006
cites work: Über das Einbettungsproblem der algebraischen Zahlentheorie
cites work: Einbettungsprobleme mit lokaler Vorgabe und freie Produkte lokaler Galoisgruppen.
description: scientific article; zbMATH DE number 4057630