2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102211We classify all finite groups G such that the product of any two non-inverse conjugacy classes of G is always a conjugacy class of G. We also classify all finite groups G for which the product of any two G-conjugacy classes which are not inverse modulo the center of G is again a conjugacy class of G.I withdraw this paper from arXiv, because it has been published in Israel Journal of MathematicsGroup Theorytext