The Lie n-Engel property in group rings

Let FG be the group ring of a group G over a field F whose characteristic i s p not equal 2. Let * denote the involution on FG which sends each group e lement to its inverse. Let (FG)(+) and (FG)(-) denote, respectively, the se ts of symmetric and skew elements with respect to *. The conditions under w hich the group ring is Lie n-Engel for some n are known. We show that if ei ther (FG)(+) or (FG)(-) is Lie n-Engel, and G is devoid of 2-elements, then FG is Lie m-Engel for some m. Furthermore, we completely classify the rema ining groups for which (FG)(+) is Lie n-Engel.