Vanishing conjecture for the Whitehead group

For a group $G$, the Whitehead group is

$$\operatorname{Wh}(G)=K_1(\mathbb{Z}G)/\{\pm g\mid g\in G\}.$$

Vanishing conjecture for the Whitehead group. The Whitehead group of a torsionfree group vanishes.

For finitely presented groups, this is equivalent to the triviality of every h-cobordism of dimension at least $6$ with that fundamental group. The conjecture is described as an algebraic consequence of the $K$-theoretic Farrell–Jones conjecture.