Additive group of integers modulo $6$ I am currently studying Galois Theory and am having trouble understanding group notation.
What does $$\mathbb{Z}/n\mathbb{Z}$$
mean? I understand that its an additive group of modulo $n$ but what would the elements of $$\mathbb{Z}/6\mathbb{Z}$$ be for example?

It is $\mathbb{Z}/6\mathbb{Z}=\{[0],[1],[2],[3],[4],[5]\}$.
The residue classes modulo 6
You can add them like this: $[a]+[b]=[a+b]$
