On product of p-sequential spaces

The product of finitely many regular p-compact p-sequential spaces is p-compact p-sequential for any free ultrafilter p as it follows from [5]. In the paper is produced an example of a Hausdorff p-compact p-sequential space whose square is not p-sequential. It is also given an example of a space which is sP-radial, wP-radial, vwP  -radial for any P⊂μ(τ)P⊂μ(τ) but its square is neither sP-radial nor wP-radial nor vwP-radial space.