#### Volume 3, issue 1 (2003)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
$K$–theory of virtually poly-surface groups

### S K Roushon

Algebraic & Geometric Topology 3 (2003) 103–116
 arXiv: math.GT/0209118
##### 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.

##### Keywords
strongly poly-free groups, poly-closed surface groups, Whitehead group, fibered isomorphism conjecture
##### Mathematical Subject Classification 2000
Primary: 19B28, 19A31, 20F99, 19D35
Secondary: 19J10