Jesse Lansdown

activity

20162026

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021

Implications of vanishing Krein parameters on Delsarte designs, with applications in finite geometry

John Bamberg, Jesse Lansdown

In this paper we show that if $θ$ is a $T$ -design of an association scheme $(Ω, R)$ , and the Krein parameters $q_{i, j}^{h}$ vanish for some $h \neq \in T$ and all $i, j \no…

math.GR2021

Synchronising primitive groups of diagonal type exist

John Bamberg, Michael Giudici, Jesse Lansdown +1

Every synchronising permutation group is primitive and of one of three types: affine, almost simple, or diagonal. We exhibit the first known example of a synchronising diagonal typ…

math.CO2021

The Non-Existence of Block-Transitive Subspace Designs

Daniel R. Hawtin, Jesse Lansdown

Let $q$ be a prime power and $V ≅ F_{q}^{n}$ . A $t$ - $(n, k, λ)_{q}$ design, or simply a subspace design, is a pair $D = (V, B)$ , where $B$ is a su…