On a huge family of non-Schurian Schur rings (Q2138571)

Summary: In his famous monograph on permutation groups, H. Wielandt gives an example of a Schur ring over an elementary abelian group of order \(p^2 (p>3\) is a prime), which is non-schurian, that is, it is the transitivity module of no permutation group. Generalizing this example, we construct a huge family of non-schurian Schur rings over elementary abelian groups of even rank.