Even and odd transformation

1. Dec 26, 2013

LagrangeEuler

Why $\rho,\rho^2,\rho^3,\rho^4$ are even transformation and $\rho\sigma,\rho^2\sigma,\rho^3\sigma$ are odd transformation. I'm talking about case of $D_4$ group, where $\rho$ is rotation and $\sigma$ is reflection.

2. Dec 27, 2013

tiny-tim

Hi LagrangeEuler!

What is the definition of even (or odd) transformation?

3. Dec 30, 2013

LagrangeEuler

Not sure.

4. Dec 30, 2013

tiny-tim

ok, if you can't give a "mathy" definition, just give an ordinary english explanation (or example), and we'll take it from there