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2003 $K$–theory of virtually poly-surface groups
S K Roushon
Algebr. Geom. Topol. 3(1): 103-116 (2003). DOI: 10.2140/agt.2003.3.103

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.

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S K Roushon. "$K$–theory of virtually poly-surface groups." Algebr. Geom. Topol. 3 (1) 103 - 116, 2003. https://doi.org/10.2140/agt.2003.3.103

Information

Received: 25 April 2002; Revised: 15 January 2003; Accepted: 7 February 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1037.19002
MathSciNet: MR1997315
Digital Object Identifier: 10.2140/agt.2003.3.103

Subjects:
Primary: 19A31, 19B28, 19D35, 20F99
Secondary: 19J10

Rights: Copyright © 2003 Mathematical Sciences Publishers

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