Graph symmetry and simple groups

点击翻译按钮获取中文摘要

This project aims to use knowledge of finite simple groups to tackle problems in graph symmetry. The symmetry of an object is encoded by a group, and this allows tools from algebra to be used to study graphs. The main impact will be in areas of pure mathematics such as graph theory and group theory by obtaining new classifications and constructions. Expected outcomes include providing new constructions and classifications of highly symmetric graphs, and an improved knowledge and understanding of local symmetries for graphs of higher valencies so that they become as well understood as the valency three case.