Geodesic
A Hajós type result on factoring finite abelian groups by subsets. II
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 1-8

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It is proved that if a finite abelian group is factored into a direct product of lacunary cyclic subsets, then at least one of the factors must be periodic. This result generalizes Hajós's factorization theorem.
Classification : 05B45, 20K01, 52C22, 68R05
Keywords: factorization of finite abelian groups; periodic subset; cyclic subset; Hajós's theorem 
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Corrádi, Keresztély; Szabó, Sándor. A Hajós type result on factoring finite abelian groups by subsets. II. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/CMUC_2010__51_1_a0/