In group theory, Cayley's theorem, named in honour of Arthur Cayley, states that every finite group G is isomorphic to a subgroup of the symmetric group acting on G. This can be understood as an example of the group action of G on the elements of G. A permutation of a set G is any bijective function taking G onto G.
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In group theory, Cayley's theorem, named in honour of Arthur Cayley, states that every finite group G is isomorphic to a subgroup of the symmetric group acting on G. This can be understood as an example of the group action of G on the elements of G. A permutation of a set G is any bijective function taking G onto G.