S. Barwick

most citedSpecialness and the Bose representation

1 citations · 1 across the 7 of their papers we have counts for

collaborators

8 papers

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…

math.CO2019

A ruled quintic surface in $P G (6, q)$

S. G. Barwick

In this article we look at a scroll of $P G (6, q)$ that uses a projectivity to rule a conic and a twisted cubic. We show this scroll is a ruled quintic surface $V_{2}^{5}$ , and…

math.CO2019

A characterisation of Baer subplanes

S. G. Barwick, Wen-Ai Jackson

Let $K$ be a set of $q^{2} + 2 q + 1$ points in $P G (4, q)$ . We show that if every 3-space meets $K$ in either one, two or three lines, a line and a non-degenerate conic, or a twisted cubic…

math.CO2019

Characterising elliptic solids of $Q (4, q)$ , $q$ even

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

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

math.CO2019

Conics in Baer subplanes

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

This article studies conics and subconics of $P G (2, q^{2})$ and their representation in the André/Bruck-Bose setting in $P G (4, q)$ . In particular, we investigate their relationship wit…

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

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

A ruled quintic surface in PG(6,q)

A characterisation of Baer subplanes

Characterising elliptic solids of Q(4,q), q even

Conics in Baer subplanes

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

A ruled quintic surface in $P G (6, q)$

Characterising elliptic solids of $Q (4, q)$ , $q$ even