23 citations · 138 across the 38 of their papers we have counts for
6 papers · 1 filter
Point-primitive generalised hexagons and octagons
John Bamberg, S. P. Glasby, Tomasz Popiel +2
In 2008, Schneider and Van Maldeghem proved that if a group acts flag-transitively, point-primitively, and line-primitively on a generalised hexagon or generalised octagon, then it…
Locally triangular graphs and rectagraphs with symmetry
John Bamberg, Alice Devillers, Joanna B. Fawcett +1
Locally triangular graphs are known to be halved graphs of bipartite rectagraphs, which are connected triangle-free graphs in which every -arc lies in a unique quadrangle. A gra…
Generalised quadrangles and transitive pseudo-hyperovals
John Bamberg, Stephen P. Glasby, Tomasz Popiel +1
A pseudo-hyperoval of a projective space $\PG(3n-1,q)$, even, is a set of subspaces of dimension such that any three span the whole space. We prove that a pseudo-…
An enumeration of certain projective ternary two-weight codes and their relationship to the cubic Segre variety
Michael Martis, John Bamberg, Sylvia Morris
We detail the enumeration of all two-intersection sets of the five-dimensional projective space over the field of order 3 that are invariant under an element of order 7, which incl…
Triple factorisations of the general linear group and their associated geometries
Seyed Hassan Alavi, John Bamberg, Cheryl E. Praeger
Triple factorisations of finite groups of the form are essential in the study of Lie theory as well as in geometry. Geometrically, each triple factorisation cor…
AS-configurations and skew-translation generalised quadrangles
John Bamberg, S. P. Glasby, Eric Swartz
The only known skew-translation generalised quadrangles (STGQ) having order , with even, are translation generalised quadrangles. Equivalently, the only known groups …