Algebraic & Geometric Topology

On the transfer reducibility of certain Farrell–Hsiang groups

Christoph Winges

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Abstract

We show how the existing proof of the Farrell–Jones conjecture for virtually poly-–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
Received: 9 October 2014
Revised: 5 March 2015
Accepted: 6 March 2015
First available in Project Euclid: 16 November 2017

Permanent link to this document
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

Subjects
Primary: 18F25: Algebraic $K$-theory and L-theory [See also 11Exx, 11R70, 11S70, 12- XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67]
Secondary: 54H25: Fixed-point and coincidence theorems [See also 47H10, 55M20] 55U10: Simplicial sets and complexes

Keywords
Farrell–Jones conjecture transfer reducibility Farrell–Hsiang method resolution of fixed points fixed-point free actions

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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