Cayley's Representation Theorem/General Case

Theorem
Let $\left({G, \circ}\right)$ be a group.

Then there exists a permutation group $P$ on some set $S$ such that:


 * $G \cong P$

That is, such that $G$ is isomorphic to $P$.

Also known as
This result is also known as the Representation Theorem for Groups.