Please help me with this problem: Show that if σ is a cycle of odd length, than σ² is a cycle.
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Originally Posted by jenjen Please help me with this problem: Show that if σ is a cycle of odd length, than σ² is a cycle. Not true.
really? but I was told to show that according to my math book.
Sorry, I was wrong. I think we need to show, $\displaystyle (a_1,...,a_n)^2 = (a_3,...,a_n,a_1,a_2)$ Where $\displaystyle n>1$ is odd.
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