Geodesic
K–theory of virtually poly-surface groups
Roushon, S K1
1School of Mathematics, Tata Institute, Homi Bhabha Road, Mumbai 400 005, India
Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 103-116
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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.

DOI : 10.2140/agt.2003.3.103
Keywords: strongly poly-free groups, poly-closed surface groups, Whitehead group, fibered isomorphism conjecture

Roushon, S K  1

1 School of Mathematics, Tata Institute, Homi Bhabha Road, Mumbai 400 005, India 
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Roushon, S K. K–theory of virtually poly-surface groups. Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 103-116. doi: 10.2140/agt.2003.3.103

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