Definition:Group Monomorphism

Definition

Let $\left({G, \circ}\right)$ and $\left({H, *}\right)$ be groups.

Let $\phi: G \to H$ be a (group) homomorphism.

Then $\phi$ is a group monomorphism iff $\phi$ is an injection.

Sources

• J.A. Green: Sets and Groups (1965)... (previous)... (next): $\S 7.1$
• George McCarty: Topology: An Introduction with Application to Topological Groups (1967): Chapter $\text{II}$
• Allan Clark: Elements of Abstract Algebra (1971)... (previous)... (next): $\S 65$
• Thomas A. Whitelaw: An Introduction to Abstract Algebra (1978)... (previous)... (next): $\S 47.5 \ \text{(a)}$