M. Kang

activity

20062019

most citedNoether's problem and unramified Brauer groups

14 citations · 64 across the 37 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.AC2011★ 10 cited

Unramified Brauer groups for groups of order p^5

Akinari Hoshi, Ming-chang Kang

Let $k$ be any field, $G$ be a finite group acting on the rational function field $k (x_{g} : g \in G)$ by $h \cdot x_{g} = x_{h g}$ for any $h, g \in G$ . Define $k (G) = k (x_{g} : g \in G)^{G}$ . Noet…

math.AC2011★ 1 cited

Noether's problem for the groups with a cyclic subgroup of index 4

Ming-chang Kang, Ivo M. Michailov, Jian Zhou

Let $G$ be a finite group and $k$ be a field. Let $G$ act on the rational function field $k (x_{g} : g \in G)$ by $k$ -automorphisms defined by $g \cdot x_{h} = x_{g h}$ for any $g, h \in G$ . Noe…

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…