Three-dimensional purely quasi-monomial actions

Akinari Hoshi, Hidetaka Kitayama

Let $G$ be a finite subgroup of ${\mathrm{Aut}}_k(K(x_1,\dots ,x_n))$ where $K/k$ is a finite field extension and $K(x_1,\dots ,x_n)$ is the rational function field with $n$ variab…