3 papers
math.CO2026
The intersection of two linear sets of rank 3 in PG(1,q^3)
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
This article studies the intersection of two linear sets of rank 3 of PG(1,q^3). In particular, all possible intersection sizes are determined, the structure of the largest interse…
math.CO2025
The partition of arising from an order 3 planar collineation
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
Let be a collineation of order 3 acting on whose fixed points are exactly an -plane . Let be a point whose orbit under is a triangle an…
math.CO2025
The planar projectivity of PG(2, ) of order 3 under field reduction
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
Let be a collineation of of order 3 which fixes a plane of order pointwise. The points of can be parti…