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Factoring by hereditary periodicity forcing subsets

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Abstract

If a finite abelian group is factored into a direct product of its cyclic subsets, then at least one of the factors is periodic. This is a famous result of G. Hajós. We propose to replace the cyclicity of the factors by an abstract property that still guarantees that one of the factors is periodic. Then we present applications of this approach.

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Authors and Affiliations

  1. Department of General Computer Technics, Eötvös L. University, Pázmány P. sétány 1/c, H-1117, Budapest, Hungary

    K. Corrádi

  2. Institute of Mathematics and Informatics, University of Pécs, Ifjúság u. 6, 7624, Pécs, Hungary

    S. Szabó

Authors
  1. K. Corrádi
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  2. S. Szabó
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Correspondence to S. Szabó.

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Corrádi, K., Szabó, S. Factoring by hereditary periodicity forcing subsets. Acta Math Hung 125, 131–140 (2009). https://doi.org/10.1007/s10474-009-8241-8

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  • DOI: https://doi.org/10.1007/s10474-009-8241-8

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