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math.CO updates on arXiv.org

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Schur rings over infinite dihedral group
Gang Chen, Jiawei He, Zhiman Wu · 2023-05-15 · via math.CO updates on arXiv.org

Schur rings over the infinite dihedral group $\mathcal{Z}\rtimes\mathcal{Z}_2$ are studied according to properties of Schur rings over infinite groups and the classification of Schur rings over infinite cyclic groups. Schur rings over $\mathcal{Z}\rtimes{\mathcal{Z}}_2$ are classified under the assumption that $\mathcal{Z}$ is an $\mathcal{A}$-subgroup. Those Schur rings are proved to be traditional.

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