Lie identities on skew elements in group algebras

Let F be a field and G a group having an involution ∗. Extend ∗ to an involution of the group ring, FG. We discuss recent results concerning Lie properties satisfied by the set of skew elements, (FG)^− = {α ∈ FG : α∗ =−α}. Furthermore, when char F = 2, we prove two new theorems classifying the torsion groups G, without dihedral involvement, such that (FG)^− is Lie nilpotent or bounded Lie Engel, thereby extending previous results that disallowed 2-elements.