John Polhill

collaborators

3 papers

math.CO2024

Combinatorial transfer: a new method for constructing infinite families of nonabelian difference sets, partial difference sets, and relative difference sets

Eric Swartz, James A. Davis, John Polhill +1

For nearly a century, mathematicians have been developing techniques for constructing abelian automorphism groups of combinatorial objects, and, conversely, constructing combinator…

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…