Title: Algebraic K-theory of pure braid groups
(joint work with C.S. Aravinda and F.T. Farrell)
Abstract: In this article we introduce the notion of strongly poly-free
groups and show that the Whitehead group of any such group vanishes. In
fact we show that the Lower K-groups of any such groups vanish. We also
show that the pure braid groups are strongly poly-free. We use geometric
results on 3-manifolds to prove the result.
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