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.

Subcategories

This category has the following 14 subcategories, out of 14 total.

Pages in category "Group Homomorphisms"

The following 38 pages are in this category, out of 38 total.