23 citations · 138 across the 38 of their papers we have counts for
5 papers · 1 filter
A New Infinite Family of Hemisystems of the Hermitian Surface
John Bamberg, Melissa Lee, Koji Momihara +1
In this paper, we construct an infinite family of hemisystems of the Hermitian surface . In particular, we show that for every odd prime power congruent to $…
A classification of finite antiflag-transitive generalized quadrangles
John Bamberg, Cai Heng Li, Eric Swartz
A generalized quadrangle is a point-line incidence geometry such that: (i) any two points lie on at most one line, and (ii) given a line and a point not in…
Point-primitive, line-transitive generalised quadrangles of holomorph type
John Bamberg, Tomasz Popiel, Cheryl E. Praeger
Let be a group of collineations of a finite thick generalised quadrangle . Suppose that acts primitively on the point set of , and transitively on the l…
A note on relative hemisystems of Hermitian generalised quadrangles
John Bamberg, Melissa Lee, Eric Swartz
In this paper we introduce a set of sufficient criteria for the construction of relative hemisystems of the Hermitian space , unifying all known infinite familie…
Weighted Intriguing Sets in Finite Polar Spaces
John Bamberg, Jan De Beule, Ferdinand Ihringer
We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space . We al…