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math.AC2007
Noether's problem for some p-groups
Ming-chang Kang, Shou-Jen Hu
Let K be any field and G be a finite group. Noether's problem asks whether the fixed field is rational (=purely transcendental) over K. We will prove that if G is a non-abelian p-g…
math.AC2007
Retract rationality and Noether's problem
Ming-chang Kang
Let K be any field and G be a finite group. We will prove that, if K is any field, p an odd prime number, and G is a non-abelian group of exponent p with |G|=p^3 or p^4 satisfying…