Resolutions of 2 and 3 dimensional rings of invariants for cyclic groups

John C. Harris, David L. Wehlau

Let $G$ be the cyclic group of order $n$ and suppose $\mathbf{F}$ is a field containing a primitive $n^{\text{th}}$ root of unity. We consider the ring of invariants $\mathbf{F}[W{]}^G$ of a…