“…In view of [4,10,11,18,27] for symmetric groups and [2,6,17,21] for double covers of symmetric and alternating groups, this concludes the problem of describing non-trivial tensor products for symmetric and alternating groups as well as their covering groups in arbitrary characteristic (for the exceptional covering groups for n = 6 or 7 non-trivial irreducible tensor products can be studied using character tables).…”