Which finite simple groups are unit groups?
type: Item
instance of: scholarly article
title: Which finite simple groups are unit groups?
zbMATH Open document ID: 1290.16038
author: Christopher Davis
author: Tommy Occhipinti
published in: Journal of Pure and Applied Algebra
publication date: 2014-01-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1409.7518
review text: The authors prove that if a finite group has trivial 2-core and is isomorphic to the unit group of a ring then it is isomorphic to the direct product of general linear groups over finite fields of characteristic 2 from which fact the answer to the title question follows readily.
reviewed by: János Kurdics
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 6244985
zbMATH Keywords: unit groups of rings
zbMATH Keywords: finite groups
zbMATH Keywords: finite simple groups
zbMATH Keywords: finite general linear groups
MaRDI profile type: Publication
OpenAlex ID: W1975075018
arXiv ID: 1409.7518
cites work: Q4692705
cites work: WHICH ALTERNATING AND SYMMETRIC GROUPS ARE UNIT GROUPS?
cites work: On the Group of Units of a Ring
cites work: The Finite Simple Groups
DOI: 10.1016/J.JPAA.2013.08.013
description: scientific article; zbMATH DE number 6244985