Abstract
If a cyclic subset is periodic, then it is a subgroup. So Hajós’s theorem can be reformulated such that if a finite abelian group is a direct product of cyclic subsets, then at least one of the factors is periodic. In this section we replace the cyclicity by an abstract property of the factors, which still guarantees that at least one of the factors is periodic.
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© 2004 Hindustan Book Agency
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Szabó, S. (2004). Elementary arguments. In: Topics in Factorization of Abelian Groups. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-22-4_2
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DOI: https://doi.org/10.1007/978-93-86279-22-4_2
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-48-7
Online ISBN: 978-93-86279-22-4
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