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Computational methods for exceptional groups

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GRAW02 - Computational and algorithmic methods

This talk will contain no new algorithms or methods for computation in groups. Instead, I will describe my (ab)using of existing algorithms (in Magma) to help study the structure of exceptional algebraic groups, their Lie algebras and the exceptional finite groups of Lie type. Such computational methods have guided me and often formed part of the argument in lots of my work, including joint projects with Tim Burness, Alastair Litterick and David Stewart.

These applications have included representation theory, especially calculating cohomology groups, intersection of subgroups and construction of subgroups. The talk will include many open-ended (and impossible-to-answer) questions about the finite groups of Lie type machinery and related algorithms, which will hopefully be helpful to other users in the audience.


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

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