An ordered triple of group elements (x,y,z) is said to be rewriteable if the product xyz is equal to one of the products xzy, yxz, yzx, zxy, zyx. In the present paper, we shall ask the following question: how rewriteable can a finite group be if its derived group has order greater than 2?
Ellenberg, Jordan, "An Upper Bound for 3-Rewriteability in Finite Groups" (1991). Mathematical Sciences Technical Reports (MSTR). 77.