Magic squares on Abelian groups

Sylwia Cichacz, Dalibor Froncek

Let $(\hat{I}“,+)$ be an Abelian group of order $n^2$ and MS${}_{\hat{I}}“(n)$ be an $n\times n$ array whose entries are all elements of $\hat{I}“$. Then MS${}_{\hat{I}}“(n)$ is a $\hat{I}“$-magic square if all row, co…