Qinghai Zhong

collaborators

4 papers

math.CO2025

On zero-sum problems over metacyclic groups $C_{n} ⋊_{s} C_{2}$

Jun Seok Oh, Sávio Ribas, Kevin Zhao +1

Let $G$ be a finite group. A finite collection of elements from $G$ , where the order is disregarded and repetitions are allowed, is said to be a product-one sequence if its element…

math.AC2025

On separating sets of polynomial invariants of finite abelian group actions

Barna Schefler, Kevin Zhao, Qinghai Zhong

Let $G$ be a finite group acting on a finite dimensional complex vector space $V$ via linear transformations. Let $C [V]^{G}$ be the algebra of polynomials that are invariant…

math.CO2025

On the inverse problem of the $k$ -th Davenport constants for groups of rank $2$

Qinghai Zhong

For a finite abelian group $G$ and a positive integer $k$ , let $D_{k} (G)$ denote the smallest integer $ℓ$ such that each sequence over $G$ of length at least $ℓ$ has $…

math.AC2025

On the separating Noether number of finite abelian groups

Barna Schefler, Kevin Zhao, Qinghai Zhong

The separating Noether number $β_{sep} (G)$ of a finite group $G$ is the minimal positive integer $d$ such that for every finite $G$ -module $V$ there is a separating set co…

On zero-sum problems over metacyclic groups Cn​⋊s​C2​

On separating sets of polynomial invariants of finite abelian group actions

On the inverse problem of the k-th Davenport constants for groups of rank 2

On the separating Noether number of finite abelian groups

On zero-sum problems over metacyclic groups $C_{n} ⋊_{s} C_{2}$

On the inverse problem of the $k$ -th Davenport constants for groups of rank $2$