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 2025Show all

4 papers · 1 filter

math.GR2025

On the intersections of nilpotent subgroups in simple groups

Timothy C. Burness, Hong Yi Huang

Let $G$ be a finite group and let $H_{p}$ be a Sylow $p$ -subgroup of $G$ . A recent conjecture of Lisi and Sabatini asserts the existence of an element $x \in G$ such that $H_p \cap H…

math.GR2025

On the intersections of Sylow subgroups in almost simple groups

Timothy C. Burness, Hong Yi Huang

Let $G$ be a finite almost simple group and let $H$ be a Sylow $p$ -subgroup of $G$ . As a special case of a theorem of Zenkov, there exist $x, y \in G$ such that $H \cap H^x \cap H^y…

math.GR2025

On the depth of subgroups of simple groups

Timothy C. Burness

The depth of a subgroup $H$ of a finite group $G$ is a positive integer defined with respect to the inclusion of the corresponding complex group algebras $\mathbb{C}H \subseteq \ma…

math.GR2025★ 1 cited

On fixed-point-free involutions in actions of finite exceptional groups of Lie type

Timothy C. Burness, Mikko Korhonen

Let $G$ be a nontrivial transitive permutation group on a finite set $Ω$ . By a classical theorem of Jordan, $G$ contains a derangement, which is an element with no fixed points on…