(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

let a=(b_1,...,b_n) n-cycle in the permutation group S_n .

prove that the cycle decomposition of a^k consist of gcd(n,k) cycles of n/gcd(n,k) size.

3. The attempt at a solution

I know that [tex]a^k(b_i)=b_{i+k (mod n)}[/tex]

how can it help me ?

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# Homework Help: Cycle decomposition of n-cycle's power

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