Homomorphism on groups

Dependencies:

1. Group

Let $G$ be a group. Let $\varphi :G\mapsto G$ be a function. Then $\varphi$ is a homomorphism iff $\mathrm{\forall }a,b\in G,\varphi (ab)=\varphi (a)\varphi (b)$.

Dependency for:

1. Mapping of power is power of mapping
2. Homomorphic mapping of subgroup of domain is subgroup of codomain
3. Homomorphic mapping and inverse mapping of normal subgroup is normal

Info:

• Depth: 1
• Number of transitive dependencies: 1

Transitive dependencies:

1. Group