2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165806Dyer and Formanek (1976) proved that if N is a free nilpotent group of class two and of finite rank which is not equal to 1, or to 3, then the automorphism group Aut(N) of N is complete. The main result of the present paper states that the automorphism group of any infinitely generated free nilpotent group of class two is also complete.A pre-publication preprint of a paper published in `2001Group Theory20F28, 20F18Free two-step nilpotent groups whose automorphism group is completetext