The cyclic group is the symmetries of rotation of a directed n-gon. It is abelian order n and isomorphic to addition mod n (Zn).

Cn={e,a,a^2,...,a^(n-1)} a^n=e

here a^m = rotation by 2*Pi*m/n

a^m-1=a^(n-m)

source

jl@crush.caltech.edu index

lie_algebra

example

Cn