A family of non-Schurian p-Schur rings over groups of order p³
classification
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orderschurgroupsringsfamilynon-schurianarticlecommutative
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Recently, it was proved that every commutative $p$-Schur ring over a group of order $p^3$ is Schurian. In this article, we consider the Schurity problem of non-commutative $p$-Schur rings over groups of order $p^3$. In particular, it is given a family of non-Schurian $p$-Schur rings over groups of order $p^3$.
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