Hopf's formula
= Hopf's formula
{c}
For a <free presentation> $G\cong F/R$, <Hopf's formula> is
$$
H_2(G,\mathbb Z)\cong\frac{R\cap[F,F]}{[F,R]}.
$$
= Hopf's formula
{c}
For a <free presentation> $G\cong F/R$, <Hopf's formula> is
$$
H_2(G,\mathbb Z)\cong\frac{R\cap[F,F]}{[F,R]}.
$$