Abstract: *We generalize the notion of strongly poly-free groups
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
vanish.
An example of a torsion free virtually strongly poly-surface group is
the
fundamental group of the configuration space of n number of points on a
2-dimensional
manifold other than the sphere and the projective plane.
Look at [2] for an erratum and at the
preprint [3] for a generalization
and correction.*