1 citations · 2 across the 5 of their papers we have counts for
5 papers
Nonabelian partial difference sets constructed using abelian techniques
James Davis, John Polhill, Ken Smith +1
A -partial difference set (PDS) is a subset of a group such that , , and every nonidentity element of can be written in either or…
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…
Constructions of difference sets in nonabelian 2-groups
Taylor Applebaum, John Clikeman, James A. Davis +5
Difference sets have been studied for more than 80 years. Techniques from algebraic number theory, group theory, finite geometry, and digital communications engineering have been u…
Amorphic association schemes with negative Latin square type graphs
James A. Davis, Qing Xiang
Applying results from partial difference sets, quadratic forms, and recent results of Brouwer and Van Dam, we construct the first known amorphic association scheme with negative La…
Negative Latin square type partial difference sets in nonelementary abelian 2-groups
James A. Davis, Qing Xiang
Combining results on quadrics in projective geometries with an algebraic interplay between finite fields and Galois rings, we construct the first known family of partial difference…