Group antihomomorphism
= Group antihomomorphism
{title2=$f(gh)=f(h)f(g)$}
A group antihomomorphism between <groups> reverses multiplication: $f(gh)=f(h)f(g)$. Inversion $g\mapsto g^{-1}$ is an example. An antihomomorphism is a <group homomorphism> when the multiplication in the target is replaced by its reverse. In a nonabelian target the reversal matters: the <group homomorphism> and antihomomorphism identities generally differ.