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The maximal subgroups of E7(q)

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

This talk will survey the work that goes into the (nearly complete) list of maximal subgroups of E7(q). We will start with some general information about simple groups, their maximal subgroups, then some preliminary facts about E7(q) and its algebraic counterpart.

After describing what is previously known about its maximal subgroups, we will then move on to new work of Alex Ryba and myself, which at the present time classifies all maximal subgroups save PSL2(q) for q=7,8,9,11,13.

This talk is part of the Algebra seminar series.

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