Necessary and sufficient conditions are established for zero-sum Γ-magic squares of order n on Abelian groups Γ of order n².
Cichacz, Partition of Abelian groups into zero-sum sets by complete mappings and its application to the existence of a magic rectangle set,J
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Note on zero-sum magic squares on Abelian groups
Necessary and sufficient conditions are established for zero-sum Γ-magic squares of order n on Abelian groups Γ of order n².