Research Themes
- Modular representation theory
- Partial groups
- Generation of finite groups of Lie type
Research Activity
As part of his PhD research Jamie is working on projects in the areas of modular representation theory, partial groups and generation of finite groups of Lie type. The first of these projects involves restating the Alperin-McKay conjecture, from modular representation theory, as a property on stabilisers of chains of p-subgroups. The second of these projects is investigating the automorphism groups of certain families of partial groups, which are closely related to fusion systems. He has shown that given a finite group one can construct a finite partial group with that group as its automorphism group; along with other results relating to automorphism groups of objective partial groups. The final of these projects aims to prove certain families of exceptional groups of Lie type are generated by an involution and an element of order p using information about their maximal subgroups.