We show how the existing proof of the Farrell–Jones conjecture for virtually poly-ℤ–groups can be improved to rely only on the usual inheritance properties in combination with transfer reducibility as a sufficient criterion for the validity of the conjecture.
Keywords: Farrell–Jones conjecture, transfer reducibility, Farrell–Hsiang method, resolution of fixed points, fixed-point free actions
Winges, Christoph  1
@article{10_2140_agt_2015_15_2921,
author = {Winges, Christoph},
title = {On the transfer reducibility of certain {Farrell{\textendash}Hsiang} groups},
journal = {Algebraic and Geometric Topology},
pages = {2919--2946},
year = {2015},
volume = {15},
number = {5},
doi = {10.2140/agt.2015.15.2921},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2015.15.2921/}
}
TY - JOUR AU - Winges, Christoph TI - On the transfer reducibility of certain Farrell–Hsiang groups JO - Algebraic and Geometric Topology PY - 2015 SP - 2919 EP - 2946 VL - 15 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2015.15.2921/ DO - 10.2140/agt.2015.15.2921 ID - 10_2140_agt_2015_15_2921 ER -
Winges, Christoph. On the transfer reducibility of certain Farrell–Hsiang groups. Algebraic and Geometric Topology, Tome 15 (2015) no. 5, pp. 2919-2946. doi: 10.2140/agt.2015.15.2921
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