# Category:Generators of Groups

This category contains results about Generators of Groups.
Definitions specific to this category can be found in Definitions/Generators of Groups.

Let $\struct {G, \circ}$ be a group.

Let $S \subseteq G$.

Then $S$ is a generator of $G$, denoted $G = \gen S$, if and only if $G$ is the subgroup generated by $S$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Generators of Groups"

The following 6 pages are in this category, out of 6 total.