On a conjecture by Sylwia Cichacz and Tomasz Hinc, and a related problem

Fiorenza Morini, Marco Antonio Pellegrini, Stefania Sora

A $\Gamma$-magic rectangle set ${\mathrm{MRS}}_{\Gamma }(a,b;c)$ is a collection of $c$ arrays of size $a\times b$ whose entries are the elements of an abelian group $\Gamma$ of order $abc$, each on…