## Algebraic & Geometric Topology

### On the transfer reducibility of certain Farrell–Hsiang groups

Christoph Winges

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 15, Number 5 (2015), 2919-2946.

Dates
Revised: 5 March 2015
Accepted: 6 March 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841037

Digital Object Identifier
doi:10.2140/agt.2015.15.2921

Mathematical Reviews number (MathSciNet)
MR3426698

Zentralblatt MATH identifier
1329.18017

#### Citation

Winges, Christoph. On the transfer reducibility of certain Farrell–Hsiang groups. Algebr. Geom. Topol. 15 (2015), no. 5, 2919--2946. doi:10.2140/agt.2015.15.2921. https://projecteuclid.org/euclid.agt/1510841037

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