# Category:Generators of Groups

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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.