# The Cyclic Group

The cyclic group of order `n` is the group generated by an element of order `n`.
It is denoted `C`_{n}. It's elements are thus:

{`e`, `a`, `a`^{2}, `a`^{3}, ..., `a`^{n-1}}.

`C`_{n} is isomorphic to the integers modulo `n` under addition.