Melissa G.Y. Lee

ON THE DIAMETER OF INTERSECTION GRAPHS OF FINITE GROUPS

Abstract The intersection graph Δ G $\Delta _G$ normal upper Delta Subscript upper G of a finite group G $G$ upper G is a simple graph with vertices the nontrivial proper subgroups of G $G$ upper G , and an edge between two vertices if their corresponding subgroups intersect nont...

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...