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Consider the set S={1,\ omega,\ omega^2}...

Consider the set `S={1,\ omega,\ omega^2}` of all cube roots of unity. Construct the composition table for multiplication `(xx)` on `Sdot` Also, find the identity element for multiplication on `Sdot` Also, check its commutativity and find the identity element. Prove that every element of `S` is invertible.

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