## Algebraic & Geometric Topology

### $K$–theory of virtually poly-surface groups

S K Roushon

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 3, Number 1 (2003), 103-116.

Dates
Revised: 15 January 2003
Accepted: 7 February 2003
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882369

Digital Object Identifier
doi:10.2140/agt.2003.3.103

Mathematical Reviews number (MathSciNet)
MR1997315

Zentralblatt MATH identifier
1037.19002

#### Citation

Roushon, S K. $K$–theory of virtually poly-surface groups. Algebr. Geom. Topol. 3 (2003), no. 1, 103--116. doi:10.2140/agt.2003.3.103. https://projecteuclid.org/euclid.agt/1513882369

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