# Math Help - abstract algebra

1. ## abstract algebra

Please help me with this problem:

Show that if σ is a cycle of odd length, than σ² is a cycle.

2. 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.

3. really? but I was told to show that according to my math book.

4. Sorry, I was wrong.
I think we need to show,
$(a_1,...,a_n)^2 = (a_3,...,a_n,a_1,a_2)$
Where $n>1$ is odd.