The Haj & #x00F3;s Property for 2-Groups |
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| Authors: | K. Amin,K. Corr#xE di,A. Sands |
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| Affiliation: | (1) Department of Mathematics, University of Bahrain, P.O. Box 32038, Isa Town, Bahrain E-mail;(2) Department of Computer Sciences, Eötvös University, H-1117 Budapest, Pázmány P. Sétány 6;(3) Department of Mathematics & Computer Science, University of Dundee, Dundee, DD1 4HN, United Kingdom E-mail |
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| 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 = 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 x ∊ G − {e} such that xAi = Ai. In this paper, we shall study 2-groups with respect to this property. |
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