THE LEVI CLASSES GENERATED BY NILPOTENT GROUPS

Given an arbitrary class M of groups, denote by L(M) the class of all groups G in which the normal closure of every element belongs to M. Consider the quasivariety F-q(p) generated by the relatively free group in the class of nilpotent groups of length at most 2 with the commutant of exponent p (where p is an odd prime). We describe the Levi class that is generated by F-q(p).