Category:Examples of Generators of Subgroups

This category contains examples of Generator of Subgroup.

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

Let $S \subseteq G$.

Let $H$ be the subgroup generated by $S$.

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