Timothy C. Burness

activity

20132026

most citedOn the commuting probability of p-elements in a finite group

12 citations · 48 across the 40 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.GR2022

Normalisers of maximal tori and a conjecture of Vdovin

Timothy C. Burness, Adam R. Thomas

Let $G = O^{p^{'}} (G ˉ^{F})$ be a finite simple group of Lie type defined over a field of characteristic $p$ , where $F$ is a Steinberg endomorphism of the ambient simple algebraic g…

math.GR2022

Strongly base-two groups

Timothy C. Burness, Robert M. Guralnick

Let $G$ be a finite group, let $H$ be a core-free subgroup and let $b (G, H)$ denote the base size for the action of $G$ on $G / H$ . Let $α (G)$ be the number of conjugacy classes of co…

math.GR2022

On the topological generation of exceptional groups by unipotent elements

Timothy C. Burness

Let $G$ be a simple algebraic group of exceptional type over an algebraically closed field of characteristic $p ⩾ 0$ which is not algebraic over a finite field. Let $\mathc…

math.GR2022

On the generation of simple groups by Sylow subgroups

Timothy C. Burness, Robert M. Guralnick

Let $G$ be a finite simple group of Lie type and let $P$ be a Sylow $2$ -subgroup of $G$ . In this paper, we prove that for any nontrivial element $x \in G$ , there exists $g \in G$ s…

math.GR2022

On base sizes for primitive groups of product type

Timothy C. Burness, Hong Yi Huang

Let $G ⩽ Sym (Ω)$ be a finite permutation group and recall that the base size of $G$ is the minimal size of a subset of $Ω$ with trivial pointwise stabiliser. There is…