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.
G
- General Linear Group to Determinant is Homomorphism
- General Linear Group to Determinant is Homomorphism/Corollary
- Group Homomorphism/Examples
- Group Homomorphism/Examples/Mapping from D3 to Parity Group
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Direct Sum
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 1
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 1/Kernel
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 10
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 10/Kernel
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 2
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 3
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 3/Kernel
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 4
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 4/Kernel
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 5
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 6
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 6/Kernel
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 7
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 8
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 8/Kernel
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 9
- Group Homomorphism/Examples/Pointwise Addition on Continuous Real Functions on Closed Unit Interval/Example 9/Kernel
- Group Homomorphism/Examples/Square Function