*Acta Math. Acad. Paed. Nyíregyháziensis*

15 (1999), 9-18

`www.bgytf.hu/~amapn`

# The factorization of Abelian groups

**Khalid Amin**

### Abstract:

If *G* is a finite abelian group and *n*>1 is an integer,
we say that *G* is *n*-good, if from each factorization of *G* into direct product of subsets, it follows
that at least one of the subsets *Ai* is periodic, in the sense that
there exists such that *xAi*=*Ai*.
In this paper, we shall study some 3-groups with respect to this property.

*Mathematics Subject Classification.* 20K01, 05E99.

*Key words and phrases. *Abelian
groups, factorization.