ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS
ATHANASSIOS I. PAPISTAS · International Journal of Algebra and Computation · 2006
For a positive integer n, with n ≥ 4, let Gn be a free nilpotent of class 2-by-abelian group of rank n. In this paper, it is shown that the automorphism group of Gn is generated by the tame automorphisms of Gn and an explicitly given set of non-tame IA-automorphisms of Gn. This extends a result of Gupta and Levin [9]. Furthermore, the aforementioned result extends a result of Stöhr [13].