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?

The elements are the congruence classes modulo n. For example the elements of the additive group $Z_6$ are $0,1,2,3,4,5$, where $0$=${...-12,-6,0,6,12,...} $ is the set of all integers congruent  (mod 6) to $0$ and so on.
