The universally solvable embedding problem with cyclic kernel
type: Item
instance of: scholarly article
title: The universally solvable embedding problem with cyclic kernel
zbMATH Open document ID: 1036.12001
DOI: 10.1023/A:1020394919710
author: V. V. Ishkhanov
author: B. B. Lurie
published in: Journal of Mathematical Sciences (New York)
publication date: 2003-07-21T00:00:00Z
review text: Let \(1\to A\to G@>\varphi>> F\to 1\) be an exact sequence of finite groups. One says that it determines a universally solvable embedding problem if the embedding problems associated with this sequence are solvable for any pair of fields \(K| k\), where \(K\) is a Galois extension of \(k\) with Galois group \(F\). The authors prove that the universally solvable embedding problems connected with the sequence above is semidirect if \(A\) is cyclic.
Mathematics Subject Classification ID: 12F12
zbMATH DE Number: 1897060
zbMATH Keywords: exact sequence
reviewed by: Helmut Koch
MaRDI profile type: Publication
full work available at URL: a:1020394919710
OpenAlex ID: W4249188066
description: scientific article; zbMATH DE number 1897060