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 $S$.