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Noether’s problem for abelian extensions of cyclic<i>p</i>-groups
In loving memory of my dear motherLet K be a field and G a finite group.Let G act on the rational function field K (x(g) : g ∈ G) by K -automorphisms defined by g • x(h) = x(gh) for any g, h ∈ G. Denote by K (G) the …