6 papers
Reduction theorems for Noether's problem
Ming-chang Kang, Bernat Plans
We will give several reduction theorems for Noether's problem.
A Rationality Problem of Some Cremona Transformation
Akinari Hoshi, Ming-chang Kang
We will show the rationality of the function field of two variables under certain Cremona transformation.
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…
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…
Groups with essential dimension one
Huah Chu, Shou-Jen Hu, Ming-chang Kang +1
Let K be an arbitrary field. We will determine explicitly all the nontrivial finite groups of essential dimension one over K.
Essential dimensions of finite groups
Ming-chang Kang
We study the essential dimension of a finite group G over a field K. A generalization of the central extension theorem of Buhler and Reichstein (Compositio Math. 106 (1997) 159-179…