Cayley's theorem

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Cayley's theorem

[′kā‚lēz ‚thir·əm]
(mathematics)
A theorem that any group G is isomorphic to a subgroup of the group of permutations on G.
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x](p,q) should be viewed as conditional "if x, then p, else q"), derive the most important properties of the operation [GAMMA] and we prove establish Cayley theorem on centre of Pre [A.
Cayley theorem for Groups (part I): Let X set and P(X) be the collection of permutations of X.
Cayley theorem for Groups (part II): If G is a group, there is a set X such that G is isomorphic to a transformation group on X.
Theorem: Cayley theorem for Boolean algebras (part I): Let B be a subset of Bin(X) with the following properties.
In a similar way, we are proving Cayley theorem for Pre [A.