Farrell–Jones via Dehn fillings
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Farrell–Jones via Dehn fillings. / Antolín, Yago; Coulon, Rémi; Gandini, Giovanni.
I: Journal of Topology and Analysis, Bind 10, Nr. 04, 2018, s. 873-895.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Farrell–Jones via Dehn fillings
AU - Antolín, Yago
AU - Coulon, Rémi
AU - Gandini, Giovanni
PY - 2018
Y1 - 2018
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
VL - 10
SP - 873
EP - 895
JO - Journal of Topology and Analysis
JF - Journal of Topology and Analysis
SN - 1793-5253
IS - 04
ER -
ID: 221757761