A group homomorphismis a function f:G→Hf: G\to Hf:G→H between groups GGG and HHH is a function that preserves the group operation; that is f(gh)=f(g)f(g)f(gh)=f(g)f(g)f(gh)=f(g)f(g) for all g,h∈Gg,h \in Gg,h∈G.
A group isomorphism is a homomorphism that is also bijective.
Wikidata ID: Q868169