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arXiv · 2105.10575

Spectral sets and tiles in $\mathbb{Z}_p^2 \times \mathbb{Z}_q^2$

Thomas Fallon·Gergely Kiss·Gábor Somlai
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Abstract

In this paper we study Fuglede's conjecture on the direct product of two cyclic groups. After collecting the known results we prove that Fuglede's conjecture holds on $\mathbb{Z}_{pq} \times \mathbb{Z}_{pq} \cong \mathbb{Z}_p^2 \times \mathbb{Z}_q^2$.

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Thomas Fallon, Gergely Kiss, Gábor Somlai. 2021-05-21. Spectral sets and tiles in $\mathbb{Z}_p^2 \times \mathbb{Z}_q^2$. https://arxiv.org/abs/2105.10575

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