Shenglin Zhou

activity

20072024

most citedLinear spaces with a line-transitive point-imprimitive automorphism group and Fang-Li parameter gcd(k,r) at most eight

11 citations · 12 across the 12 of their papers we have counts for

collaborators

12 papers

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.CO2024

A family of symmetric graphs in relation to 2-point-transitive linear spaces

Teng Fang, Sanming Zhou, Shenglin Zhou

A graph $Γ$ is $G$ -symmetric if it admits $G$ as a group of automorphisms acting transitively on the set of arcs of $Γ$ , where an arc is an ordered pair of adjacent vertices. Let $…

math.GR2023

On symmetric 2-designs of prime order with almost simple flag-transitive automorphism groups

Z. W. Lu, S. L. Zhou

In this article, we investigate symmetric 2-designs of prime order admitting a flag-transitive automorphism group G. Recently, the authors proved that the automorphism group G of 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…

math.GR2022

Block designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups

Seyed Hassan Alavi, Mohsen Bayat, Mauro Biliotti +12

In this paper, we present a classification of $2$ -designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups. If $G$ is a flag-transitive automorphism group of a non-…

math.CO2019

Flag-transitive non-symmetric $2$ -designs with $(r, λ) = 1$ and exceptional groups of Lie type

Yongli Zhang, Shenglin Zhou

This paper determined all pairs $(D, G)$ where $D$ is a non-symmetric 2- $(v, k, λ)$ design with $(r, λ) = 1$ and $G$ is the almost simple flag-transitive automorphism…

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)

A family of symmetric graphs in relation to 2-point-transitive linear spaces

On symmetric 2-designs of prime order with almost simple flag-transitive automorphism groups

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

Block designs with gcd(r,λ)=1 admitting flag-transitive automorphism groups

Flag-transitive non-symmetric 2-designs with (r,λ)=1 and exceptional groups of Lie type

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

Block designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups

Flag-transitive non-symmetric $2$ -designs with $(r, λ) = 1$ and exceptional groups of Lie type