Cohomological dimension of fundamental groups aspherical manifolds [reference request]

Question

I've looked in Brown's Group Cohomology but I can't find a reference for the following fact, as stated in wiki

More generally, the fundamental group of a closed, connected, orientable aspherical manifold of dimension n has cohomological dimension n

Can anybody help me?

Answer 1

This is Proposition 8.1 in Brown's book.