In: Advanced Math
14. Extra Credit: Cayley’s Theorem is an important one in advanced algebra. It says that “Every algebraic group is isomorphic to some permutation group.” Demonstrate this to be true by finding a permutation group (Sn, ∘ ) that is isomorphic to (ℤ3, +) for some n.
we have verified cayleys theorem for the group .We have found an isomorphism to group of even permutations.so please see thenote above to get a better understanding.