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.
"$K$–theory of virtually poly-surface groups." Algebr. Geom. Topol. 3 (1) 103 - 116, 2003. https://doi.org/10.2140/agt.2003.3.103