S. G. Barwick

collaborators

3 papers

math.CO2026

Enumerating inherited conics in AndrÃ© planes of odd order

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

The process of deriving the Desarguesian plane $P G (2, q^{2})$ to get the Hall plane is well known, and the problem of when a conic in $P G (2, q^{2})$ inherits to an arc in the Hall plane…

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

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…

Enumerating inherited conics in AndrÃ© planes of odd order

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 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