H. Huang

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20212026

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math.GR2024

On the generalised Saxl graphs of permutation groups

Saul D. Freedman, Hong Yi Huang, Melissa Lee +1

A base for a finite permutation group $G \leq Sym (Ω)$ is a subset of $Ω$ with trivial pointwise stabiliser in $G$ , and the base size of $G$ is the smallest size of a base f…

math.GR2024

Fixers and derangements of finite permutation groups

Hong Yi Huang, Cai Heng Li, Yi Lin Xie

Let $G ⩽ Sym (Ω)$ be a finite transitive permutation group with point stabiliser $H$ . We say that a subgroup $K$ of $G$ is a fixer if every element of $K$ has fixed p…