# Category:Group Isomorphisms

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 9 subcategories, out of 9 total.

## Pages in category "Group Isomorphisms"

The following 32 pages are in this category, out of 32 total.