3 citations · 6 across the 6 of their papers we have counts for
6 papers
Sequences of linear codes where the rate times distance grows rapidly
Faezeh Alizadeh, S. P. Glasby, Cheryl E. Praeger
For a linear code of length with dimension and minimum distance , it is desirable that the quantity is large. Given an arbitrary field , we introd…
Arc-transitive digraphs with quasiprimitive local actions
Michael Giudici, S. P. Glasby, Cai Heng Li +1
Let be a finite -vertex-transitive digraph. The in-local action of is the permutation group induced by the vertex-stabiliser on the set of in-neighbours of …
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…
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…
The density of uncyclic matrices
S. P. Glasby, Cheryl E. Praeger
An element in the algebra of all matrices over a field is said to be -cyclic if the underlying vector space considered as an…
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 …