Wen-Ai Jackson

activity

20162026

most citedSpecialness and the Bose representation

1 citations · 1 across the 10 of their papers we have counts for

collaborators

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11 papers · 1 filter

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 $P G (2, q^{3})$ arising from an order 3 planar collineation

S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson

Let $ϕ$ be a collineation of order 3 acting on $P G (2, q^{3})$ whose fixed points are exactly an $F_{q}$ -plane $π_{q}$ . Let $T$ be a point whose orbit under $ϕ$ is a triangle and l…

math.CO2025

The planar projectivity of PG(2, $q^{3}$ ) of order 3 under field reduction

S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson

Let $ϕ$ be a collineation of $PG (2, q^{3})$ of order 3 which fixes a plane of order $q$ pointwise. The points of $PG (2, q^{3})$ can be parti…

math.CO2022

The feet of orthogonal Buekenhout-Metz unitals

S. G. Barwick, W. -A. Jackson, P. Wild

In this article we look at the geometric structure of the feet of an orthogonal Buekenhout-Metz unital U in PG(2,q^2). We show that the feet of each point form a set of type (0,1,2…

math.CO2019

The Bose representation of PG(2,q^3) in PG(8,q)

S. G. Barwick, Wen-Ai Jackson, Peter Wild

This article looks at the Bose representation of $P G (2, q^{3})$ as a 2-spread of $P G (8, q)$ . It is shown that an $F_{q}$ -subline of $P G (2, q^{3})$ corresponds to a 2-regulus, and an…

math.CO2019

Characterising hyperbolic hyperplanes of a non-singular quadric in $P G (4, q)$

S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson +1

Let $H$ be a non-empty set of hyperplanes in $P G (4, q)$ , $q$ even, such that every point of $P G (4, q)$ lies in either $0$ , $\frac{1}{2} q^{3}$ or $\frac{1}{2} (q^{3} + q^{2})$ hyperplanes of $H$ , and…

The intersection of two linear sets of rank 3 in PG(1,q^3)

The partition of PG(2,q3) arising from an order 3 planar collineation

The planar projectivity of PG(2, q3) of order 3 under field reduction

The feet of orthogonal Buekenhout-Metz unitals

The Bose representation of PG(2,q^3) in PG(8,q)

Characterising hyperbolic hyperplanes of a non-singular quadric in PG(4,q)

The partition of $P G (2, q^{3})$ arising from an order 3 planar collineation

The planar projectivity of PG(2, $q^{3}$ ) of order 3 under field reduction

Characterising hyperbolic hyperplanes of a non-singular quadric in $P G (4, q)$