摘要：This paper studies about the notion of indecomposable groups. It is proved that if a group is a simple then it is an indecomposable group. If G is a p-group of class two, then obtained a necessary and sufficient condition for a group to be indecomposable and also centre of a group is cyclic. If group is non abelian group and the centre of group is not contained in the intersection of maximal sub groups of group then it is a factor direct product group.
关键词：cyclic groups;centre of a group;finite Abelian group;p-group
