let G be a finite group
if sigma is automorphism from G to G such that
given that is the identity automorphism
prove that G is abelian ( hint prove that every element of G can be written as apply sigma to such expression
as you can see I end up with what I am asking about, did I made something wrong?
I work in it in another way
since sigma^2 is the identity
so if x image is x* then x* image is x