K-theory of virtually poly-surface groups

Abstract

In this paper we generalize the notion of strongly poly-free group to a larger class of groups, we call them strongly poly-surface groups and prove that the Fibered Isomorphism Conjecture of Farrell and Jones corresponding to the stable topological pseudoisotopy functor is true for any virtually strongly poly-surface group. A consequence is that the Whitehead group of a torsion free subgroup of any virtually strongly poly-surface group vanishes.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-4.abs.html; version 5: provisional erratum added at end

References in corpus (2)

• 3-manifolds with(out) metrics of nonpositive curvature
• The fibered isomorphism conjecture for complex manifolds

Cited by in corpus (3)

• The Farrell-Jones isomorphism conjecture for 3-manifold groups
• The isomorphism conjecture for 3-manifold groups and K-theory of virtually poly-surface groups
• The fibered isomorphism conjecture for complex manifolds