# Category:Definitions/Generators

This category contains definitions related to Generators in the context of Group Theory.
Related results can be found in Category:Generators.

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 2 subcategories, out of 2 total.

## Pages in category "Definitions/Generators"

The following 3 pages are in this category, out of 3 total.