Category:Group Homomorphisms

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This category contains results about Group Homomorphisms.
Definitions specific to this category can be found in Definitions/Group Homomorphisms.

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 "Group Homomorphisms"

The following 36 pages are in this category, out of 36 total.