Groups in which Squares and Cubes Commute

Geetha Venkataraman

If for all $a,b$ in a group $G$, we have that $a^2{b}^2=b^2{a}^2$ and $a^3{b}^3=b^3{a}^3$ then does the group necessarily have to be abelian? This paper shows that the answer is affir…