Muzychuk, Mikhail The structure of Schur rings over cyclic groups of square-free order. (English) Zbl 0916.05079 Acta Appl. Math. 52, No. 1-3, 163-181 (1998). Schur rings are a class of group algebras over finite groups, introduced by I. Schur in 1933. The theory of Schur rings was developed in the well-known book by H. Wielandt [Finite permutation groups (1964; Zbl 0138.02501)].In this paper the author gives a characterization of Schur rings over cyclic groups of square-free order in terms of topology, that is, he shows that each Schur ring over a cyclic group of square-free order \(n\) is uniquely determined by a finite topology on the set of prime divisors of \(n\) and by a family of finite groups satisfying certain additional conditions. Reviewer: Cai Heng Li (Perth) Cited in 4 Documents MSC: 05E99 Algebraic combinatorics 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 54H99 Connections of general topology with other structures, applications Keywords:Schur rings; cyclic groups of square-free order Citations:Zbl 0138.02501 PDFBibTeX XMLCite \textit{M. Muzychuk}, Acta Appl. Math. 52, No. 1--3, 163--181 (1998; Zbl 0916.05079) Full Text: DOI