%0 Journal Article
%T An Engel condition for orderable groups
%A P. Shumyatsky
%A A. Tortora
%A M. Tota
%J Mathematics
%D 2014
%I arXiv
%X Let m,n be positive integers, v a multilinear commutator word and w=v^m. We prove that if G is an orderable group in which all w-values are n-Engel, then the verbal subgroup v(G) is locally nilpotent. We also show that in the particular case where v=x the group G is nilpotent (rather than merely locally nilpotent).
%U http://arxiv.org/abs/1402.5247v1