Zhi-Lin Zhang

activity

20232026

collaborators

6 papers

math.NT2026

A power-sum obstruction to cyclotomicity in a family of symmetric numerical semigroups

Zhi-Lin Zhang

For positive integers $q$ and $m$ with $m \geq 2 q + 3$ , consider the symmetric numerical semigroup $S_{m, q} = ⟨ m, m + 1, q m + 2 q + 2, q m + 2 q + 3, \dots, q m + m - 1 ⟩$ . Ciolan, Garc'ia-S'anch…

math.GR2026

Solubility from a disconnected common-divisor graph on $p$ -regular conjugacy-class sizes

Zhi-Lin Zhang

Let $G$ be a finite group and let $p$ be a prime. We prove that if the common-divisor graph on the nontrivial conjugacy-class sizes of $p$ -regular elements of $G$ is disconnected,…

math.RA2026

Equality cases for matrix spaces with bounded-rank commutators

Zhi-Lin Zhang

Let $0 \leq k < n$ , and let $V \subseteq M_{n} (C)$ be a complex linear subspace satisfying $rank [S, T] \leq k$ for all $S, T \in V$ . Omladič, Radjav…

math.RA2026

The $6 \times 6$ equality case of matrix spaces with rank-two commutators

Zhi-Lin Zhang

Let $V \subseteq M_{6} (C)$ be a $17$ -dimensional linear subspace such that $rank [S, T] \leq 2 (S, T \in V) .$ We prove that $V$ , or i…

math.CO2024

Analysing 2- $(v, k, 2)$ designs admitting a flag-transitive almost simple automorphism group with socle $P S L (2, q)$ by means of conics and hyperovals of $P G (2, q)$

Alessandro Montinaro, Yanwei Zhao, Zhilin Zhang +1

The classification of the $2$ -designs with $λ = 2$ admitting a flag-transitive automorphism groups with socle $P S L (2, q)$ is completed by settling the two open cases in \cite{ABDT}. T…

math.GR2023

Flag-transitive automorphism groups of $2$ -designs with $λ \geq (r, λ)^{2}$ are not product type

Huiling Li, Zhilin Zhang, Shenglin Zhou

In this paper we show that a flag-transitive automorphism group $G$ of a non-trivial $2$ - $(v, k, λ)$ design with $λ \geq (r, λ)^{2}$ is not of product action type. In conclusion, $G$ is…

A power-sum obstruction to cyclotomicity in a family of symmetric numerical semigroups

Solubility from a disconnected common-divisor graph on p-regular conjugacy-class sizes

Equality cases for matrix spaces with bounded-rank commutators

The 6×6 equality case of matrix spaces with rank-two commutators

Analysing 2-(v,k,2) designs admitting a flag-transitive almost simple automorphism group with socle PSL(2,q) by means of conics and hyperovals of PG(2,q)

Flag-transitive automorphism groups of 2-designs with λ≥(r,λ)2 are not product type

Solubility from a disconnected common-divisor graph on $p$ -regular conjugacy-class sizes

The $6 \times 6$ equality case of matrix spaces with rank-two commutators

Analysing 2- $(v, k, 2)$ designs admitting a flag-transitive almost simple automorphism group with socle $P S L (2, q)$ by means of conics and hyperovals of $P G (2, q)$

Flag-transitive automorphism groups of $2$ -designs with $λ \geq (r, λ)^{2}$ are not product type