Anthony R. Pisani

The Saxl hypergraph of a permutation group

Given a permutation group G ≤ Sym(Ω), a subset B of Ω is said to be a base if its pointwise stabiliser in G is trivial, and thebase size b(G) is the minimum size of a base. In the notable case b(G) = 2, Burness and Giudici define the Saxl graph of G to be the graph on Ω with base...