The weight and i-weight of Lindelof P-groups

We show that fora regular P-space X, the pseudo-N-1-compactness of X is equivalent to the pseudo-N-1-compactness of the free topological group F(X) on X. This fact is applied to deduce that every regular pseudo -N-1-compact P-space is N-1-stable. Also, we calculate the exact value of the weight of F(X), for a Lindelof P-space X, in terms of the i-weight of the space X. Using the partially ordered set ([t](w), subset of), for an uncountable cardinal t, we present a nontrivial relationship between the weight and i-weight of an arbitrary Lindelof P-group.