D. Froncek

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math.CO2026

Note on zero-sum magic squares on Abelian groups

Sylwia Cichacz, Dalibor Froncek

Let $(Γ, +)$ be an Abelian group of order $n^{2}$ . A $Γ$ -magic square of order $n$ is an $n \times n$ array whose entries are pairwise distinct elements of $Γ$ such that all row sums,…

math.CO2026

Semi-magic dihedral squares

Sylwia Cichacz, Dalibor Froncek

Let $Γ$ be a group of order $n^{2}$ and $S M S_{Γ} (n) = (a_{i, j})_{n \times n}$ be an $n \times n$ array whose entries are all distinct elements of $Γ$ . If there exists an element $μ \in Γ$ su…