IAz-automorphisms of groups

‎Let $G$ be a group and $\alpha$ be an automorphism of $G$‎. ‎Then $\alpha$ is called ${\rm IA}$-automorphism if it induces the identity map on the abelianized group $G$‎. ‎Also the group of those automorphisms‎, ‎which fix the centre element-wise‎, ‎is denoted by ${\rm IA}_z(G)$‎ In this talk‎, ‎we prove that the derived subgroups of finite $p$-groups whose ${\rm IA_z}$-automorphisms are the same as central automorphisms‎, ‎are either cyclic or elementary abelian‎