Speaker
Dr
Gabriel Verret
(University of Western Australia)
Description
A permutation group is called semiregular if every point-stabiliser is trivial. Together with J. Morris and P. Spiga, we have characterised cubic graphs admitting a vertex-transitive group of automorphisms with an abelian normal subgroup that is not semiregular. While this looks rather technical, this result is surprisingly useful. We illustrate this by explaining how this result can be used to prove a conjecture of Cameron et al. about the order of semiregular subgroups in cubic vertex-transitive graphs.
Primary author
Dr
Gabriel Verret
(University of Western Australia)
