Rationality of three-dimensional quotients by monomial actions
Journal
Journal of Algebra
Journal Volume
324
Journal Issue
9
Pages
2166-2197
Date Issued
2010
Author(s)
Abstract
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. © Elsevier Inc.
Type
journal article