Speaker
Prof.
Michael Giudici
(University of Western Australia)
Description
A permutation group $L$ of degree $d$ is called graph-restrictive if there is a constant $c$ such that for every connected graph $\Gamma$ of valency $d$ admitting a group of automorphisms $G$ with local action $G_v^{\Gamma(v)}\cong L$ we have that $|G_v|\leq c$. Using this terminology, the Weiss Conjecture asserts that every primitive group is graph-restrictive. Poto\v{c}nik, Spiga and Verret have proved that if a group is graph-restrictive then it must be semiprimitive and conjectured that the converse also holds. In this talk I will discuss recent progress in collaboration with Luke Morgan on this conjecture, where we prove that the conjecture is true for a wide class of semiprimitive groups.
Primary author
Prof.
Michael Giudici
(University of Western Australia)
