  The discrete symmetry transformations of the N=2 supersymmetric (n,m)-GNLS
hierarchy are constructed. Their bosonic limit is analyzed and new discrete
symmetries of the modified GNLS hierarchy are derived. The explicit relations
connecting the integrable hierarchy, produced by the junction of the Lax
operators for the N=2 supersymmetric a=4 KdV and (n-1,m)-GNLS hierarchies, to
the N=2 supersymmetric (n,m)-GNLS hierarchy are established.
