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

prove that there are not permutations of order 18 in S_9.

2. Relevant equations

3. The attempt at a solution

let t=c_1,...,c_k is cycle decomposition of such permutation. let r_1,...,r_k the orders of c_1,...,c_k.

then lcm(r_1,...,r_k) = 18 and r_1+...+r_k = 9.

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# Homework Help: Permutation question

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