Geodesic
Methods for constructing factorizations of abelian groups with applications
Serdica Mathematical Journal, Tome 43 (2017) no. 3-4, pp. 335-360.

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The paper presents a number of methods for factoring finite abelian groups into a direct product of its subsets. Some are extension of existing techniques others are new.
Keywords: Factoring abelian groups into subsets, normalized subsets, periodic subsets, full-rank subsets, 20K01, 05B45, 52C22, 68R05 
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     title = {Methods for constructing factorizations of abelian groups with applications},
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Szabó, Sándor. Methods for constructing factorizations of abelian groups with applications. Serdica Mathematical Journal, Tome 43 (2017) no. 3-4, pp. 335-360. http://geodesic.mathdoc.fr/item/SMJ2_2017_43_3-4_a5/