Rationality of Three-Dimensional Quotients by Monomial Actions

Ming-chang Kang, Yuri G. Prokhorov

Let $G$ be a finite 2-group and $K$ be a field satisfying that (i) $\fn{char}K\ne 2$, and (ii) $\sqrt{a}\in K$ for any $a\in K$. If $G$ acts on the rational function field $K(x,y,z…