Test elements in torsion-free hyperbolic groups
Group Theory
2012-08-09 v2
Abstract
We prove that in a torsion-free hyperbolic group, an element is a test element if and only if it is not contained in a proper retract.
Cite
@article{arxiv.1202.3939,
title = {Test elements in torsion-free hyperbolic groups},
author = {Daniel Groves},
journal= {arXiv preprint arXiv:1202.3939},
year = {2012}
}
Comments
6 pages. v2: Minor changes as suggested by referee. Final version, to appear in New York Journal of Mathematics