论文标题
Fuglede的猜想适用于订单$ pqrs $的循环组
Fuglede's conjecture holds for cyclic groups of order $pqrs$
论文作者
论文摘要
离散的fuglede-conture的瓷砖 - 光谱方向是由Laba和Meyerowitz发起的无平方顺序的循环基团众所周知的,但是频谱瓷砖方向远非被众所周知。在过去的几年中,深入研究了最多三个素数作为循环群的序列的产物。在本文中,我们研究了循环群的顺序是四个不同素数的产物,并证明富格氏菌的猜想在这种情况下存在。
The tile-spectral direction of the discrete Fuglede-conjecture is well-known for cyclic groups of square-free order, initiated by Laba and Meyerowitz, but the spectral-tile direction is far from being well-understood. The product of at most three primes as the order of the cyclic group was studied intensely in the last couple of years. In this paper we study the case when the order of the cyclic group is the product of four different primes and prove that Fuglede's conjecture holds in this case.