  Letting $G=F/R$ be a finitely-presented group, Hopf's formula expresses the
second integral homology of $G$ in terms of $F$ and $R$. Expanding on previous
work, we explain how to find generators of $H_2(G;\mathbb{F}_p)$. The context
of the problem, which is related to a conjecture of Quillen, is presented, as
well as example calculations.
