The automorphism group of certain polycyclic groups

Khalid Benabdallah, Agustin D'Alessandro, Fernando Szechtman

For ${\hat{I}}^2\in \mathbb{Z}$, let $G({\hat{I}}^2)=⟨A,B|A^{[A,B]}=A,B^{[B,A]}=B^2⟩$ be the infinite Macdonald group, and set $C=[A,B]$. Then $G({\hat{I}}^2)$ is a nilpotent polycyclic…