Group of units in a finite ring
type: Item
instance of: scholarly article
title: Group of units in a finite ring
zbMATH Open document ID: 0997.16020
DOI: 10.1016/S0022-4049(01)00080-9
author: David Dolžan
published in: Journal of Pure and Applied Algebra
publication date: 2002-06-24T00:00:00Z
review text: The author finds all nonisomorphic rings whose group of units is isomorphic to a finite group of \(n\) elements, where \(n\) is a power of a prime or any product of prime powers, not divisible by 4. The author also finds all finite rings with indecomposable, solvable group of units.
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 1758359
zbMATH Keywords: groups of units
zbMATH Keywords: finite rings
zbMATH Keywords: finite solvable groups
reviewed by: Kwangil Koh
MaRDI profile type: Publication
cites work: Compact rings having a finite simple group of units
cites work: Q4046212
cites work: Q5570258
description: scientific article; zbMATH DE number 1758359