John B. Polhill

collaborators

2 papers

math.CO2023

Nonabelian partial difference sets constructed using abelian techniques

James Davis, John Polhill, Ken Smith +1

A $(v, k, λ, μ)$ -partial difference set (PDS) is a subset $D$ of a group $G$ such that $∣ G ∣ = v$ , $∣ D ∣ = k$ , and every nonidentity element $x$ of $G$ can be written in either $λ$ or…

math.CO2023

Genuinely nonabelian partial difference sets

John Polhill, James Davis, Ken Smith +1

Strongly regular graphs (SRGs) provide a fertile area of exploration in algebraic combinatorics, integrating techniques in graph theory, linear algebra, group theory, finite fields…