Fusion Systems: investigating the Goldschmidt G_5 amalgam
Amalgams of collections of finite groups play an pivotal role in finite group theory, groups acting on graphs, group geometries, representation theory and in the study of fusion systems (which itself has applications in homotopy theory). The common theme here is the study of fusion. Fusion in this context means conjugacy in groups. Fusion in a rather complicated way governs how groups are made up from their smaller subgroups. This PhD project seeks to solve one initial problem which will be to prove the following assertion:The Goldschmidt G_5 amalgam represented in odd characteristic which appears to map on to many six-dimensional projective symplectic groups, but in characteristic 3 produces a subgroup Mat (12) the sporadic simple group.
A good degree in Mathematics is required for this project.
For further information about this project, please contact Prof C Parker: [email protected]
This project may be eligible for a college or EPSRC scholarship.
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FTE Category A staff submitted: 40.00
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