Finite simple groups and fusion systems (Part 3)

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• Michael Aschbacher, California Institute of Technology
• Tuesday 08 August 2017, 14:30-15:30
• Poynting Physics, Large Lecture Theatre.

If you have a question about this talk, please contact David Craven.

The goal of these talks is to give some insight into a program to, first, classify a large subclass of the class of simple 2-fusion systems, and then, second, to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups. We will begin with an introduction to the theory of fusion systems, and then move on to an overview of the proof of the theorem classifying the finite simple groups of component type. We then discuss how to translate that proof into the category of 2-fusion systems, and the advantages that accrue from the change in category. Finally we describe how the result on fusion systems can be used to derive a corresponding theorem on simple groups.

This talk is part of the Groups St Andrews 2017 series.

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• Poynting Physics, Large Lecture Theatre

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