Some Propreties on Morphic Groups

The paper must have abstract. In this paper we continue the investigations on morphic groups. We also show that if a group is normaly uniserial and of order p3 with p prime it must be morphic and so give a negative answer to one of the questions of [4]. We caractrize the morphic groups of order p3 with p an odd prime. We also explore the set of subgroups of a morphic group which still morphic by restriction. We also show that if a group is normaly uniserial and of order p3 with p prime it must be morphic. Mathematics Subject Classification: 20E34