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arXiv · 1710.10908

Abelian Schur groups of odd order

Ilia Ponomarenko·Grigory Ryabov
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Abstract

A finite group $G$ is called a Schur group if any Schur ring over $G$ is associated in a natural way with a subgroup of $Sym(G)$ that contains all right translations. It is proved that the group $C_3\times C_3\times C_p$ is Schur for any prime $p$. Together with earlier results, this completes a classification of the abelian Schur groups of odd order.

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Ilia Ponomarenko, Grigory Ryabov. 2017-12-10. Abelian Schur groups of odd order. https://doi.org/10.17377/semi.2018.15.036

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