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  3. let ? ? sn be the cycle (1, 2, . . . , k) ? sn...

Let ? ? Sn be the cycle (1, 2, . . . , k) ? Sn...

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Advance Math

Let ? ? Sn be the cycle (1, 2, . . . , k) ?Sn where k ? n.

(a) For ? ? Sn, prove that ???-1 = (?(1),?(2), . . . , ?(k)).

(b) Let ? be any cycle of length k in Sn. Prove thatthere exists an element ? ? Sn so that ???-1= ?.

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