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arXiv · 2412.10638

The integer group determinants for the abelian groups of order 18

Bishnu Paudel·Chris Pinner
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Abstract

We obtain a complete description of the integer group determinants for $\mathbb Z_{18}$ (these are the $18\times18$ circulant determinants with integer entries) and $\mathbb Z_3 \times \mathbb Z_6$, the two abelian groups of order 18. This completes the groups of order less than 20.

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Bishnu Paudel, Chris Pinner. 2024-12-14. The integer group determinants for the abelian groups of order 18. https://arxiv.org/abs/2412.10638

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