Magic squares on Abelian groups

Sylwia Cichacz, Dalibor Froncek

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