S. P. Glasby

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20142021

most citedSubgroups of the upper-triangular matrix group with maximal derived length and a minimal number of generators

3 citations · 6 across the 6 of their papers we have counts for

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math.GR2016

Arc-transitive digraphs with quasiprimitive local actions

Michael Giudici, S. P. Glasby, Cai Heng Li +1

Let $Γ$ be a finite $G$ -vertex-transitive digraph. The in-local action of $(Γ, G)$ is the permutation group $L_{-}$ induced by the vertex-stabiliser on the set of in-neighbours of $v$ …

math.GR2014★ 3 cited

Subgroups of the upper-triangular matrix group with maximal derived length and a minimal number of generators

S. P. Glasby

The group U_n(F) of all nxn unipotent upper-triangular matrices over F has derived length d := Ceiling(log_2 (n)), equivalently 2^{d-1} < n <= 2^d. We prove that U_n(F) has a 3-gen…

math.GR2014

AS-configurations and skew-translation generalised quadrangles

John Bamberg, S. P. Glasby, Eric Swartz

The only known skew-translation generalised quadrangles (STGQ) having order $(q, q)$ , with $q$ even, are translation generalised quadrangles. Equivalently, the only known groups $G$ …