Category:Examples of Group Homomorphisms

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This category contains examples of Group Homomorphism.

Let $\struct {G, \circ}$ and $\struct {H, *}$ be groups.

Let $\phi: G \to H$ be a mapping such that $\circ$ has the morphism property under $\phi$.


That is, $\forall a, b \in G$:

$\map \phi {a \circ b} = \map \phi a * \map \phi b$


Then $\phi: \struct {G, \circ} \to \struct {H, *}$ is a group homomorphism.

Pages in category "Examples of Group Homomorphisms"

The following 29 pages are in this category, out of 29 total.

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