#### Volume 15, issue 5 (2015)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
On the transfer reducibility of certain Farrell–Hsiang groups

### Christoph Winges

Algebraic & Geometric Topology 15 (2015) 2919–2946
##### Abstract

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
##### Mathematical Subject Classification 2010
Primary: 18F25
Secondary: 54H25, 55U10