As it stands, such a group \\( (\mathcal{G},\circ )\\), with \\(g^{\circ n}=1_\mathcal{G}\\) is a [cyclic group](https://en.wikipedia.org/wiki/Cyclic_group).

So the above is a cyclic group on 4 elements.

So the above is a cyclic group on 4 elements.