Abstract
The paper deals with direct products of subsets of a finite abelian group. The results are motivated by possible extensions of Hajós’ fundamental theorem.
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References
K. Corrádi, A. D. Sands and S. Szabó, Factoring by simulated subsets II, Communications in Algebra, 27 (1999), 5367–5376.
G. Hajós, Über einfache und mehrfache Bedeckung des n-dimensionalen Raumes mit einem Würfelgitter, Math. Zeit., 47 (1942), 427–467.
S. Szabó, Topics in Factorization of Abelian Groups, Birkhäuser Verlag (2004).
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Corrádi, K., Szabó, S. Direct products of subsets in a finite abelian group. Acta Math Hung 138, 226–236 (2013). https://doi.org/10.1007/s10474-012-0289-1
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DOI: https://doi.org/10.1007/s10474-012-0289-1
Key words and phrases
- factorization of finite abelian groups
- direct product of subsets
- cyclic
- simulated
- distorted cyclic
- periodic subset
- Hajós’ theorem
- generalization of Hajós’ theorem