Melissa Lee

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20242026

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3 papers · 1 filter

math.GR2025

Prime simplicial complexes of finite groups

Melissa Lee, Kamilla Rekvényi

The prime simplicial complex $Π (G)$ of a finite group $G$ is composed of all sets of primes $S$ where $G$ has an element of order the product of primes in $S$ , with the subsets par…

math.GR2025

The Saxl hypergraph of a permutation group

Melissa Lee, Anthony Pisani

Given a permutation group $G \leq Sym (Ω)$ , a subset $B$ of $Ω$ is said to be a base if its pointwise stabiliser in $G$ is trivial, and the base size $b (G)$ is the minimum s…

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…