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On a huge family of non-Schurian Schur rings - MaRDI portal

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

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scientific article; zbMATH DE number 7525881
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On a huge family of non-Schurian Schur rings
scientific article; zbMATH DE number 7525881

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    On a huge family of non-Schurian Schur rings (English)
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    12 May 2022
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    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.
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