Farrell–Jones via Dehn fillings

TY - JOUR

T1 - Farrell–Jones via Dehn fillings

AU - Antolín, Yago

AU - Coulon, Rémi

AU - Gandini, Giovanni

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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 subgroups have a certain structure of a free product. We then apply this result to establish the Farrell–Jones conjecture for groups hyperbolic relative to a family of residually finite subgroups satisfying the Farrell–Jones conjecture, partially recovering a result of Bartels

AB - 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 subgroups have a certain structure of a free product. We then apply this result to establish the Farrell–Jones conjecture for groups hyperbolic relative to a family of residually finite subgroups satisfying the Farrell–Jones conjecture, partially recovering a result of Bartels

U2 - 10.1142/S1793525318500292

DO - 10.1142/S1793525318500292

M3 - Journal article

SN - 1793-5253

VL - 10

SP - 873

EP - 895

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 04

ER -