# 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]

## Abstract

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.

Item Type: MIMS Preprint finite simple group; local fusion graph; connected; involution MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations Dr John Ballantyne 09 Nov 2012 08 Nov 2017 18:18 http://eprints.maths.manchester.ac.uk/id/eprint/1911