Huye Chen

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20242026

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math.GR2025

The Burness-Giudici Conjecture on Primitive Groups with Socle $R ee (q)$ and $S z (q)$

Huye Chen, Shaofei Du

Let $G$ be a transitive permutation group on $Ω$ containing two points $α, β$ such that $G_{α} \cap G_{β} = 1$ . The Saxl graph $Σ (G)$ of $(G, Ω)$ is defined as the graph with vertex set $…

math.GR2025

The Burness-Giudici Conjecture on Primitive Groups with Socle PSU(3,q)

Huye Chen, Shaofei Du, Weicong Li

Let $G$ be a transitive permutation group on a set $Ω$ , and suppose $G_{α} \cap G_{β} = 1$ for some distinct $α, β \in Ω$ . The Saxl graph $Σ (G)$ of $(G, Ω)$ is defined as the graph with ver…

math.GR2025

The Burness-Giudici Conjecture on Some Primitive Groups with Socle PSU(3,q)

Huye Chen, Shaofei Du, Weicong Li

Let $G$ be a transitive permutation group on $Ω$ with two points $α, β \in Ω$ such that $G_{α} \cap G_{β} = 1$ . The Saxl graph $Σ (G)$ of the pair $(G, Ω)$ is the graph with vertex set $Ω$ , w…

The Burness-Giudici Conjecture on Primitive Groups with Socle Ree(q) and Sz(q)

The Burness-Giudici Conjecture on Primitive Groups with Socle PSU(3,q)

The Burness-Giudici Conjecture on Some Primitive Groups with Socle PSU(3,q)

The Burness-Giudici Conjecture on Primitive Groups with Socle $R ee (q)$ and $S z (q)$