6 citations · 22 across the 24 of their papers we have counts for
24 papers
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…
Inherited arcs in André planes of even order
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
André planes of order can be constructed from the Desarguesian plane using a process that involves replacing André nets. This article constructs ovals in André pl…
Enumerating inherited conics in André planes of odd order
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
The process of deriving the Desarguesian plane to get the Hall plane is well known, and the problem of when a conic in inherits to an arc in the Hall plane…
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 and l…
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…
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…