Hello

I'm having a problem with exercise II.4.8 of Hungerford's Algebra. It says: find an automorphism of $\displaystyle Z_6$ that is not an inner automorphism. An inner automorphism is one of the form $\displaystyle f(x)=gxg^{-1}$.

The problem is that every automorphism can be written as an inner automorphism because $\displaystyle Z_6$ is abelian.

Am I wrong?

(now i've got the latex)