Showing 2026Show all
2 papers · 1 filter
math.GR2026
An infinite family of counterexamples to the Polycirculant Conjecture
Saul D. Freedman, Melissa Lee
We disprove the Polycirculant Conjecture, which states that every transitive 2-closed permutation group is non-elusive, i.e. contains a derangement of prime order. In fact, we prov…
math.CO2026
Automorphisms of Kimura Hadamard Matrices
Santiago Barrera Acevedo, Melissa Lee
We investigate the structure of the automorphism groups of Kimura Hadamard matrices (KHMs) constructed from dihedral groups. We identify several different types of automorphisms, a…