K-theory of virtually poly-surface groups

Details K-theory of virtually poly-surface groups K-theory of virtually poly-surface groups

2002-09-11

arxiv.org/abs/math/0209118v5

Algebr. Geom. Topol. 3 (2003) 103-116

Mathematics

Geometric Topology

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

Scientific paper

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.

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