# Original -> Grain oil

$$\gamma$$ is a permutation on eight elements, though you are not told which permutation it is. If $$\gamma$$ is applied to an 8-element set, what is the minimum number of additional times we must apply $$\gamma$$ to the resulting set in order to guarantee the set is back in its original configuration when we stop?

Details and assumptions

All of the elements are distinct.

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