Factoring an odd abelian group by lacunary cyclic subsets
Sándor Szabó (2010)
Discussiones Mathematicae - General Algebra and Applications
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It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.