show that if F is a cycle of odd length the F2 is a cycle
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Originally Posted by wonjujin show that if F is a cycle of odd length the F2 is a cycle Just write out the cycle. Notice $\displaystyle (12345)^2 = (13524)$ and $\displaystyle (1234567)^2 = (1357246)$ and in general $\displaystyle (1,2,...,2n+1)^2 = (1,3,...,2n+1,2,4,...,2n)$.
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