The Hajós Property for 2-Groups

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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 = A1A2···Ak of G into direct product of subsets, it follows that at least one of the subsets Ai is periodic, in the sense that there exists xG − {e} such that xAi = Ai. In this paper, we shall study 2-groups with respect to this property.

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