2 papers
math.CO2025
A PTR polynomial for the Hughes planes and a new class of permutation polynomials involving Catalan numbers
Stephen Brittain, Robert S. Coulter, Alice Man Wa Hui
Hughes introduced the projective planes that bear his name in 1957 and they have since been studied extensively. However, until now, no polynomial representation of a planar ternar…
math.CO2025
A classification of unitals in nearfield planes with maximal automorphism group
Randon J. Weaver, Robert S. Coulter, Alice M. W. Hui
We classify the parabolic unitals in regular nearfield planes of odd order whose linear collineation group has the maximal size of . We also establish a number of more…