Generalized 2-cocycles of finite groups and maximal orders
type: Item
instance of: scholarly article
title: Generalized 2-cocycles of finite groups and maximal orders
zbMATH Open document ID: 0918.16022
published in: Journal of Algebra
publication date: 1999-08-05T00:00:00Z
review text: Let \(R\) be a Dedekind domain, \(K\) the quotient field of \(R\), and \(G\) a finite group. If \(\alpha\colon G\times G\to R-\{0\}\) is a generalized 2-cocycle, which does not necessarily take values in the units of \(R\), the author gives criteria for the generalized twisted group ring \(R*_\alpha G\) to be a graded maximal \(R\)-order, respectively a hereditary \(R\)-order or a maximal \(R\)-order in \(K*_\alpha G\).
Mathematics Subject Classification ID: 16S35
Mathematics Subject Classification ID: 16H05
zbMATH DE Number: 1247575
zbMATH Keywords: Dedekind domains
zbMATH Keywords: finite groups
zbMATH Keywords: generalized 2-cocycles
zbMATH Keywords: generalized twisted group rings
zbMATH Keywords: graded maximal orders
zbMATH Keywords: hereditary orders
author: Erna Nauwelaerts
reviewed by: Constantin Năstăsescu
MaRDI profile type: Publication
full work available at URL: jabr.1998.7548
OpenAlex ID: W1992191579
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cites work: Graded Dedekind rings
DOI: 10.1006/JABR.1998.7548
description: scientific article; zbMATH DE number 1247575