Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On Wh3 of a Bieberbach group

Andrew J. Nicasa1

a1 Department of Mathematics, Brandeis University, Waltham, MA 02254

A closed aspherical manifold is a closed manifold whose universal covering space is contractible. There is the following conjecture concerning the algebraic K-theory of such manifolds:

Conjecture. Let Γ be the fundamental group of a closed aspherical manifold. Then Whi(Γ) = 0 for i ≥ 0 where Whi(Γ) is the i-th higher Whitehead group of Γ.

(Received June 06 1983)