On the Completion of Pro-P Groups

We examine the class of finite paragraded groups which we will denote by P. After observing that the class P is closed with respect to subgroups and direct products ({7}), we define the notion of a pro-P group and consider the completion of such a group. 2000 Mathematics Subject Classification. 08A05, 16W50, 20L05, 20E18, 20-99