On the isolated points in the space of groups
Group Theory
2010-08-04 v2
Abstract
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.
Cite
@article{arxiv.math/0511714,
title = {On the isolated points in the space of groups},
author = {Yves de Cornulier and Luc Guyot and Wolfgang Pitsch},
journal= {arXiv preprint arXiv:math/0511714},
year = {2010}
}
Comments
30 pages, no figure. v2: minor changes, published version from March 2006