Existence of magic rectangle sets over finite abelian groups

Shikang Yu, Tao Feng, Hengrui Liu

Let $a$, $b$ and $c$ be positive integers. Let $(G,+)$ be a finite abelian group of order $abc$. A $G$-magic rectangle set MRS${}_G(a,b;c)$ is a collection of $c$ arrays of size $a\t…