Jian Zhou

activity

20102018

most citedInvariants of wreath products and subgroups of S_6

5 citations · 9 across the 8 of their papers we have counts for

collaborators

8 papers

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.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.AG2014★ 1 cited

Rationality problem for transitive subgroups of S_8

Baoshan Wang, Jian Zhou

For any field K and any transitive subgroup G of S_8, let G acts naturally on K(x_1, . . ., x_8) by permutations of the variables, we prove that under some minor conditions K(x_1,…

math.AG2013

Rationality for subgroups of S_6

Jian Zhou

For a transitive subgroup $G \leq S_{6}$ which contain $C_{3} \times C_{3}$ as subgroup, we prove that $K (x_{1}, \dots, x_{6})^{G}$ is rational over $K$ , where $K$ is any field, and $G$ acts natu…

math.AG2013★ 5 cited

Invariants of wreath products and subgroups of S_6

Ming-chang Kang, Baoshan Wang, Jian Zhou

Let $G$ be a subgroup of $S_{6}$ , the symmetric group of degree 6. For any field $k$ , $G$ acts naturally on the rational function field $k (x_{1}, ..., x_{6})$ via $k$ -automorphisms defined…

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.AG2010

Noether's problem for \hat{S}_4 and \hat{S}_5

Ming-chang Kang, Jian Zhou

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

math.AG2010★ 2 cited

The rationality problem for finite subgroups of GL_4(Q)

Ming-chang Kang, Jian Zhou

Let $G$ be a finite subgroup of $G L_{4} (Q)$ . The group $G$ induces an action on $Q (x_{1}, x_{2}, x_{3}, x_{4})$ , the rational function field of four variables over $Q$ . Theorem.…

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

Noether's Problem for Some Semidirect Products

Rationality problem for transitive subgroups of S_8

Rationality for subgroups of S_6

Invariants of wreath products and subgroups of S_6

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

Noether's problem for \hat{S}_4 and \hat{S}_5

The rationality problem for finite subgroups of GL_4(Q)

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