A counterexample to Fuglede's conjecture in $(\mathbb{Z}/p\mathbb{Z}{)}^4$ for all odd primes

Sam Mattheus

In this short note we construct a spectral, non-tiling set of size $2p$ in $(\mathbb{Z}/p\mathbb{Z}{)}^4$, $p$ odd prime. This example complements a previous counterexample in [arXiv…