Normal homomorphism

In group theory, a **normal homomorphism** (more commonly referred to in terms of **normal subgroups** and the concept of a **homomorphism**) generally arises in the context of studying the structure of groups and their relationships through morphisms. A **homomorphism** between two groups \( G \) and \( H \) is a function \( \phi: G \to H \) that preserves the group operation.