Abelian Schur groups of odd order

Ilia Ponomarenko; Grigory Ryabov

doi:10.17377/semi.2018.15.036

paper

Abelian Schur groups of odd order

arXiv:1710.10908 · doi:10.17377/semi.2018.15.036

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 $S y m (G)$ 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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