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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- Oct 14th 2007, 10:29 PMjenjenabstract algebra
Please help me with this problem:

Show that if σ is a cycle of odd length, than σ² is a cycle. - Oct 15th 2007, 04:44 PMThePerfectHacker
- Oct 15th 2007, 10:18 PMjenjen
really? but I was told to show that according to my math book.

- Oct 16th 2007, 02:54 PMThePerfectHacker
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.