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Constructing subgroups of exceptional algebraic groups

Presented by: 
David Craven
Date: 
Monday 27th January 2020 - 11:30 to 12:20
Venue: 
INI Seminar Room 1
Abstract: 
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons