ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS

Abstract

For a positive integer n, with n ≥ 4, let G n be a free nilpotent of class 2-by-abelian group of rank n. In this paper, it is shown that the automorphism group of G n is generated by the tame automorphisms of G n and an explicitly given set of non-tame IA-automorphisms of G n . This extends a result of Gupta and Levin [9]. Furthermore, the aforementioned result extends a result of Stöhr [13].