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

37 papers

math.AG2019

An application of cohomological invariants

Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki

Let $G$ be a finite group, $k$ be a field and $G \to G L (V_{reg})$ be the regular representation of $G$ over $k$ . Then $G$ acts naturally on the rational function field $k(V_{\rm…

math.AG2018

Noether's problem for some subgroups of $S_{14}$ : the modular case

Hang Fu, Ming-chang Kang, Baoshan Wang +1

Let $G$ be a subgroup of $S_{n}$ , the symmetric group of degree $n$ . For any field $k$ , $G$ acts naturally on the rational function field $k (x_{1}, \dots, x_{n})$ via $k$ -automorphi…

math.AG2018

A two-dimensional rationality problem and intersections of two quadrics

Akinari Hoshi, Ming-chang Kang, Hidetaka Kitayama +1

Let $k$ be a field with char $k \neq = 2$ and $k$ be not algebraically closed. Let $a \in k ∖ k^{2}$ and $L = k (a) (x, y)$ be a field extension of $k$ where $x, y$ are algebraic…

math.AG2017★ 1 cited

Degree three unramified cohomology groups and Noether's problem for groups of order $243$

Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki

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

math.NT2017

Noether's Problem for Some Semidirect Products

Ming-chang Kang, Jian Zhou

Let $k$ be a field, $G$ be a finite group, $k (x (g) : g \in G)$ be the rational function field with the variables $x (g)$ where $g \in G$ . The group $G$ acts on $k (x (g) : g \in G)$ by $k$ -a…

math.AG2016★ 1 cited

Multiplicative Invariant Fields of Dimension \le 6

Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki

The finite subgroups of $G L_{4} (Z)$ are classified up to conjugation in \cite{BBNWZ}; in particular, there exist $710$ non-conjugate finite groups in $G L_{4} (Z)$ . Each finite…

An application of cohomological invariants

Noether's problem for some subgroups of S14​: the modular case

A two-dimensional rationality problem and intersections of two quadrics

Degree three unramified cohomology groups and Noether's problem for groups of order 243

Noether's Problem for Some Semidirect Products

Multiplicative Invariant Fields of Dimension \le 6

Noether's problem for some subgroups of $S_{14}$ : the modular case

Degree three unramified cohomology groups and Noether's problem for groups of order $243$