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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…
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…