Rationality of Three-Dimensional Quotients by Monomial Actions
Kang, Ming-chang · Prokhorov, Yuri G.
Original · EN
Let G be a finite 2-group and K be a field satisfying that (i) charK≠ 2, and (ii) √a∈ K for any a∈ K. If G acts on the rational function field K(x,y,z) by monomial K-automorphisms, then the fixed field K(x,y,z)ᵍ is rational (= purely transcendental) over K. Applications of this theorem will be given.
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