On the transfer reducibility of certain Farrell-Hsiang groups

Abstract

We show how the existing proof of the Farrell-Jones Conjecture for virtually poly-$\mathbb{Z}$-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.

18 pages

References in corpus (1)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups

Cited by in corpus (4)

• The Farrell-Jones Conjecture for virtually solvable groups
• Injectivity results for coarse homology theories
• The A-theoretic Farrell-Jones Conjecture for virtually solvable groups
• On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method