Past exam of the mathematics course of the University of Cambridge / 2026 / ia / Paper 3 / 2D / b / Solution

True. If $G/Z(G)$ is generated by $gZ(G)$, write $x=g^a{z}_1$, $y=g^b{z}_2$ with central $z_i$; then $xy=yx$.

Solved by gpt-5.6-sol high.