## SZAB\'O S\'andor,

## R\'edei's theorem with a factor of order four.

## Hokkaido Mathematical Journal, 38 (2009) pp.267-281

### Fulltext

PDF### Abstract

We will prove that if a finite abelian group is a direct product of its subsets such that one subset has four elements and the others have prime cardinalities, then at least one of the factors must be periodic.

MSC(Primary) | 20K01 |
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MSC(Secondary) | 20D60, 20K25 |

Uncontrolled Keywords | Factoring abelian groups by subsets, Haj\'os' theorem, R\'edei's theorem, periodic factorizations, normalized factorizations. |