The Fuglede Conjecture holds in \(p3\) for p=5,7
Abstract
For p=5,7, we show that a subset \(E ⊂ p3\) is spectral if and only if E tiles \(p3\) by translation. Additionally, we give an alternate proof that the conjecture holds for p=3.
0
For p=5,7, we show that a subset \(E ⊂ p3\) is spectral if and only if E tiles \(p3\) by translation. Additionally, we give an alternate proof that the conjecture holds for p=3.