The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups
Geometric Topology
2021-05-28 v1 K-Theory and Homology
Abstract
We prove the Farrell-Jones Conjecture for mapping tori of automorphisms of virtually torsion-free hyperbolic groups. The proof uses recently developed geometric methods for establishing the Farrell-Jones Conjecture by Bartels-L\"{u}ck-Reich, as well as the structure theory of mapping tori by Dahmani-Krishna.
Keywords
Cite
@article{arxiv.2105.13291,
title = {The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups},
author = {Mladen Bestvina and Koji Fujiwara and Derrick Wigglesworth},
journal= {arXiv preprint arXiv:2105.13291},
year = {2021}
}
Comments
16 pages, this paper supersedes arXiv posting arXiv:1906.00069, which will not be published independently