Generalized 2-cocycles of finite groups and maximal orders
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 \(K*_\alpha G\).
scientific article; zbMATH DE number 1247575