Marina Anagnostopoulou-Merkouri

A generalisation of Cameron's base size conjecture

Let G⩽Sym(Ω)$G\leqslant {\rm Sym}(\Omega)$ be a finite transitive permutation group with point stabiliser H$H$ . A base for G$G$ is a subset of Ω$\Omega$ whose pointwise stabiliser is trivial, and the minimal cardinality of a base is called the base size of G$G$ , denoted by b(G,Ω)$b(G, \Omega)$ . Equivalently, b(G,Ω)$...