Relative Quasiconvexity using Fine Hyperbolic Graphs
Group Theory
2014-10-01 v2
Abstract
We provide a new and elegant approach to relative quasiconvexity for relatively hyperbolic groups in the context of Bowditch's approach to relative hyperbolicity using cocompact actions on fine hyperbolic graphs. Our approach to quasiconvexity generalizes the other definitions in the literature that apply only for countable relatively hyperbolic groups. We also provide an elementary and self-contained proof that relatively quasiconvex subgroups are relatively hyperbolic.
Cite
@article{arxiv.1009.3532,
title = {Relative Quasiconvexity using Fine Hyperbolic Graphs},
author = {Eduardo Martinez-Pedroza and Daniel T. Wise},
journal= {arXiv preprint arXiv:1009.3532},
year = {2014}
}
Comments
21 pages, 6 figures. New section on fine graphs. Version to appear in AGT