I have the following question:
Find a permutation $\alpha ∈ S_7 $ such that $\alpha^4 = (2 1 4 3 5 6 7)$. Is $\alpha$ unique?
How should I go about this? I've tried a few different trial and error type solutions but to no avail.
Thanks
2026-04-03 13:43:32.1775223812
Finding a permutation $ \alpha $ given $ \alpha^4 $
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