I am trying to learn some algebra to prepare myself for graduate school.
I am doing the problem from The fundamental Theorem of Algebra by Benjamin Fine & Gerhard Rosenberger. Don't worry I am not doing homework.
Problem 2.5: Let $w^3=1$, $w \neq1$. Show then that $1+w+w^2=0$.
That was very easy.
My question is about $w^3=1,w\neq1$ does that map to $C_3$.
because w would generate the group? by the fact that its not the identity?