K–theory of virtually poly-surface groups

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

References

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Publication

Received: 25 April 2002

Revised: 15 January 2003

Accepted: 7 February 2003

Published: 8 February 2003

Authors

S K Roushon
School of Mathematics Tata Institute Homi Bhabha Road Mumbai 400 005 India
http://www.math.tifr.res.in/~roushon/paper.html

Volume 3, issue 1 (2003)

S K Roushon