Nonperiodic product of subsets and Hajós' theorem

Authors

  • Sandor Szabò

DOI:

https://doi.org/10.1285/i15900932v23n1p1

Keywords:

Factorization of finite abelian groups, Hajos-Redei theory

Abstract

G. Hajós proved that if a unite abelian group is a direct product of its cyclic subsets, then at least one of the factors must be a subgroup.We give a new elementary proof of this theorem based on the special case for $p$-groups.

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Published

01-01-2004

Issue

Volume 23, Issue 1 (2004)

Section

Articoli

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