Algebraic and Geometric Topology 3 (2003), paper no. 4, pages 103-116.

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.

Erratum There is an error in this paper. A full erratum will be published in due course. In the meanwhile a provisional erratum is available (links below).

Keywords. Strongly poly-free groups, poly-closed surface groups, Whitehead group, fibered isomorphism conjecture

AMS subject classification. Primary: 19B28, 19A31, 20F99, 19D35. Secondary: 19J10.

DOI: 10.2140/agt.2003.3.103

E-print: arXiv:math.GT/0209118

Submitted: 25 April 2002. (Revised: 15 January 2003.) Accepted: 7 February 2003. Published: 8 February 2003.

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S.K. Roushon
School of Mathematics, Tata Institute
Homi Bhabha Road, Mumbai 400 005, India.
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