On the transfer reducibility of certain Farrell–Hsiang groups

Winges, Christoph

doi:10.2140/agt.2015.15.2921

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On the transfer reducibility of certain Farrell–Hsiang groups

Christoph Winges

Algebraic & Geometric Topology 15 (2015) 2919–2946

DOI: 10.2140/agt.2015.15.2921

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

References

Publication

Received: 9 October 2014

Revised: 5 March 2015

Accepted: 6 March 2015

Published: 10 December 2015

Authors

Christoph Winges
Mathematisches Institut Westfälische Wilhelms-Universität Münster Einsteinstr. 62 D-48149 Münster Germany

Volume 15, issue 5 (2015)