General question about orbits (group theory)

[linda300]

Hi everyone,

I was just wondering if you have an element of a G-set which has an orbit of only itself,

Say Orbit(e) = {e}, in the set of permutations where G is the same order group of permutations and the operation is conjugation.

This is an Orbit of size 1 correct?

I was just wondering if these size Orbits are often ignored?

 

[Office_Shredder]

Can you give an example of when you ever ignore these orbits?