Melissa Lee

activity

20182022

collaborators

4 papers

math.CO2022

Extremely primitive groups and linear spaces

Melissa Lee, Gabriel Verret

A finite non-regular primitive permutation group $G$ is extremely primitive if a point stabiliser acts primitively on each of its nontrivial orbits. Such groups have been studied f…

math.GR2021

Saxl graphs of primitive affine groups with sporadic point stabilisers

Melissa Lee, Tomasz Popiel

Let $G$ be a permutation group on a set $Ω$ . A base for $G$ is a subset of $Ω$ whose pointwise stabiliser is trivial, and the base size of $G$ is the minimal cardinality of a base.…

math.RT2020

Regular orbits of quasisimple linear groups II

Melissa Lee

Let $V$ be a finite-dimensional vector space over a finite field, and suppose $G \leq Γ L (V)$ is a group with a unique subnormal quasisimple subgroup $E (G)$ that is absolut…

math.GR2018

Bases of quasisimple linear groups

Melissa Lee, Martin W. Liebeck

Let $V$ be a vector space of dimension $d$ over $F_{q}$ , a finite field of $q$ elements, and let $G \leq G L (V) ≅ G L_{d} (q)$ be a linear group. A base of $G$ is a set of vectors whos…