let G be a group. A subset X of G is said to be non-nilpotent if, for any two distinct element x and y in X, is a non-nilpotent subgroup of G. Define W(G) to be the order of the largest non-nilpotent set in G. Using regular semisimple and regular unipotent element we find a lower bound for W(G) for G=GL(n,q).
