A necessary and sufficient condition for a group to be the multiplicative group of a field
type: Item
instance of: scholarly article
title: A necessary and sufficient condition for a group to be the multiplicative group of a field
zbMATH Open document ID: 0569.20047
author: Kanhaiya Singh
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The problem of describing those abelian groups which can be multiplicative groups of fields has been solved by \textit{R. M. Dicker} [Proc. Lond. Math. Soc., III. Ser. 18, 114-124 (1968; Zbl 0191.325)] in terms of a certain function on the group. In this paper the author gives another necessary and sufficient condition for a group in terms of the existence of a certain extension of the group. The results depend heavily on those of Dicker.
Mathematics Subject Classification ID: 20K35
Mathematics Subject Classification ID: 17A40
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 20K30
zbMATH DE Number: 3908703
zbMATH Keywords: abelian groups
zbMATH Keywords: multiplicative groups of fields
zbMATH Keywords: function
zbMATH Keywords: extension
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3908703