Category:Examples of Group Isomorphisms
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This category contains examples of Group Isomorphism.
Let $\struct {G, \circ}$ and $\struct {H, *}$ be groups.
Let $\phi: G \to H$ be a (group) homomorphism.
Then $\phi$ is a group isomorphism if and only if $\phi$ is a bijection.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Examples of Group Isomorphisms"
The following 17 pages are in this category, out of 17 total.
G
- Group Isomorphism/Examples
- Group Isomorphism/Examples/Congruence Modulo Initial Segment of Natural Numbers
- Group Isomorphism/Examples/Order 2 Matrices with 1 Real Variable
- Group Isomorphism/Examples/Quotient Group of Z by 3Z with Quotient Group of A4 by K4
- Group Isomorphism/Examples/Real Power Function
I
- Infinite Cyclic Group is Isomorphic to Integers
- Isomorphism between Additive Group Modulo 16 and Multiplicative Group Modulo 17
- Isomorphism between Roots of Unity under Multiplication and Integers under Modulo Addition
- Isomorphisms between Additive Group of Integers Modulo 4 and Reduced Residue System Modulo 5 under Multiplication