%0 Journal Article
%T On the isolated points in the space of groups
%A Yves de Cornulier
%A Luc Guyot
%A Wolfgang Pitsch
%J Mathematics
%D 2005
%I arXiv
%R 10.1016/j.jalgebra.2006.02.012
%X We investigate the isolated points in the space of finitely generated groups. We give a workable characterization of isolated groups and study their hereditary properties. Various examples of groups are shown to yield isolated groups. We also discuss a connection between isolated groups and solvability of the word problem.
%U http://arxiv.org/abs/math/0511714v2