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math.GR2025
New 2-closed groups that are not automorphism groups of digraphs
John Bamberg, Michael Giudici, Jacob Paul Smith
In this paper we extend the construction of Giudici, Morgan and Zhou [arXiv:2110.07896] to give the first known examples of nonregular, -closed permutation groups of rank greate…
math.GR2025
Low rank groups of Lie type acting point and line-primitively on finite generalised quadrangles
Vishnuram Arumugam, John Bamberg, Michael Giudici
Suppose we have a finite thick generalised quadrangle whose automorphism group acts primitively on both the set of points and the set of lines. Then must be almost simple.…
math.GR2024
Tactical decompositions in finite polar spaces and non-spreading classical group actions
John Bamberg, Michael Giudici, Jesse Lansdown +1
For finite classical groups acting naturally on the set of points of their ambient polar spaces, the symmetry properties of \emph{synchronising} and \emph{separating} are equivalen…