Farrell-Jones via Dehn fillings
Group Theory
2019-09-02 v1 Geometric Topology
Abstract
Following the approach of Dahmani, Guirardel and Osin, we extend the group theoretical Dehn filling theorem to show that the pre-images of infinite order elements have a certain structure of a free product. We then apply this result to show that groups hyperbolic relative to residually finite groups satisfying the Farrell-Jones conjecture, they satisfy the Farrell-Jones conjecture.
Cite
@article{arxiv.1510.08113,
title = {Farrell-Jones via Dehn fillings},
author = {Yago Antolín and Rémi Coulon and Giovanni Gandini},
journal= {arXiv preprint arXiv:1510.08113},
year = {2019}
}
Comments
19 pages