Noether's problem for groups of order 32
Journal
Journal of Algebra
Journal Volume
320
Journal Issue
7
Pages
3022-3035
Date Issued
2008
Author(s)
Abstract
Let K be any field, G be a finite group. Let G act on the rational function field K (xg : g ∈ G) by K-automorphisms defined by h ṡ xg = xh g for any g, h ∈ G. Denote by K (G) = K (xg : g ∈ G)G the fixed field. Noether's problem asks, under what situations, the fixed field K (G) will be rational (= purely transcendental) over K. {A formulation is presented}. © 2008 Elsevier Inc. All rights reserved.
Type
journal article