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A Rédei type factorization result for a special \(2\)-group. (English) Zbl 0963.20029

Summary: If a finite Abelian \(2\)-group is a direct product of two cyclic groups and also the group is a direct product of subsets whose orders are either four or two, then at least one of these subsets must be periodic.

MSC:

20K01 Finite abelian groups
52C22 Tilings in \(n\) dimensions (aspects of discrete geometry)
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