Abstract
If G is a finite abelian group and k > 1 is an integer, we say that G has the Hajós k-property, if from each factorization G = A 1 A 2···A k of G into direct product of subsets, it follows that at least one of the subsets A i is periodic, in the sense that there exists x ∊ G − {e} such that xA i = A i . In this paper, we shall study 2-groups with respect to this property.
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References
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Amin, K., Corr#x00E1;di, K. & Sands, A. The Haj & #x00F3;s Property for 2-Groups. Acta Mathematica Hungarica 89, 189–198 (2000). https://doi.org/10.1023/A:1010699507182
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DOI: https://doi.org/10.1023/A:1010699507182