Title: Automorphisms of relatively free nilpotent groups of infinite rank
Abstract: Let F be a free group and V a characteristic subgroup of F. Then the natural homomorphism from F to F/V gives rise to a homomorphism 1: Aut(F) + Aut(F/I’) from the automorphism group of F to the automorphism group of F/V. In this paper we shall prove that x is surjective provided that F has infinite rank and F/V is nilpotent.