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Constructing subgroups of exceptional algebraic groups

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GRAW02 - Computational and algorithmic methods

When trying to understand the subgroup structure of the exceptional algebraic groups and groups of Lie type, one often needs to explicitly construct simple subgroups of large finite groups. In this talk, we will discuss some relatively simple, yet powerful, ideas and algorithms that can decide the existence and number of classes of various maximal subgroups of the larger exceptional groups (of types E and F). We will apply these methods to construct some sporadic and cross-characteristic Lie type maximal subgroups of E7 and E8.  

This forms part of the speaker's programme to complete the classification of maximal subgroups.

This talk is part of the Isaac Newton Institute Seminar Series series.

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