# Connectivity of Local Fusion Graphs for Finite Simple Groups

Ballantyne, John and Rowley, Peter (2012) Connectivity of Local Fusion Graphs for Finite Simple Groups. [MIMS Preprint]

The main result proved here is that for a finite simple group $G$ and a $G$-conjugacy class of involutions $X$ the local fusion graph $\mathcal{F}(G,X)$ is a connected graph.