%0 Journal Article
%T Subgroups defining automorphisms in locally nilpotent groups
%A Giovanni Cutolo
%A Chiara Nicotera
%J Mathematics
%D 2001
%I arXiv
%X We investigate some situation in which automorphisms of a group G are uniquely determined by their restrictions to a proper subgroup H. Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is. As an application we prove that certain countably infinite locally nilpotent groups have uncountably many (outer) automorphisms.
%U http://arxiv.org/abs/math/0109160v1