In this note, we prove that if G is a finite group, then G is p-nilpotent if and only if there exists a positive integer n such that [x,y,…y(n)]∈Op′(G) for any x,y∈G.
文摘In this note, we prove that if G is a finite group, then G is p-nilpotent if and only if there exists a positive integer n such that [x,y,…y(n)]∈Op′(G) for any x,y∈G.