Category:Group Isomorphisms
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This category contains results about Group Isomorphisms.
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 12 subcategories, out of 12 total.
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G
I
P
Pages in category "Group Isomorphisms"
The following 33 pages are in this category, out of 33 total.
G
I
- Infinite Cyclic Group is Unique up to Isomorphism
- Inner Automorphism Group is Isomorphic to Quotient Group with Center
- Internal and External Group Direct Products are Isomorphic
- Internal Group Direct Product Isomorphism
- Inverse of Group Isomorphism is Isomorphism
- Inversion Mapping is Isomorphism from Ordered Abelian Group to its Dual
- Isomorphism of Abelian Groups
- Isomorphism of Finite Group with Permutations of Quotient with Subgroup