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- W4288055967 abstract "A wreath product is a method to construct an association scheme from two association schemes. We determine the automorphism group of a wreath product. We show a known result that a wreath product is Schurian if and only if both components are Schurian, which yields large families of non-Schurian association schemes and non-Schurian $S$-rings. We also study iterated wreath products. Kernel schemes by Martin and Stinson are shown to be iterated wreath products of class-one association schemes. The iterated wreath products give examples of projective systems of non-Schurian association schemes, with an explicit description of primitive idempotents." @default.
- W4288055967 created "2022-07-28" @default.
- W4288055967 creator A5034040142 @default.
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- W4288055967 date "2022-07-19" @default.
- W4288055967 modified "2023-09-24" @default.
- W4288055967 title "Wreath products and projective system of non Schurian association schemes" @default.
- W4288055967 doi "https://doi.org/10.48550/arxiv.2207.09205" @default.
- W4288055967 hasPublicationYear "2022" @default.
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