# Category:Definitions/Abelian Groups

This category contains definitions related to Abelian Groups.
Related results can be found in Category:Abelian Groups.

An abelian group is a group $G$ where:

$\forall a, b \in G: a b = b a$

That is, every element in $G$ commutes with every other element in $G$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Definitions/Abelian Groups"

The following 12 pages are in this category, out of 12 total.