Embedding finite groups into algebraic groups

David Craven (University of Birmingham)

Wednesday 4th March, 2015 16:00-17:00 Maths 516


Let H and G be algebraic groups in the same characteristic. A natural question to ask is if an embedding of the finite version H(q) into G comes from an embedding of H into G. This question is closely related to the important project to classify the maximal subgroups of the finite simple groups, which would have substantial applications in group theory.

In trying to answer this question for exceptional groups, we need to understand not only the structure of exceptional algebraic groups, but also understand subtle questions in cohomology. The techniques involved are a blend of linear algebra, geometry, representation theory and group theory. In this talk I will discuss recent work on this topic, joint with Kay Magaard and Chris Parker.

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