Speaker: Kay Magaard (Birmingham)

Title: Quasisimple Overgroups of Quasisimple Irreducible Subgroups of Classical Groups

Abstract:

We consider the following question: Which irreducible representations of a finite quasisimple group lead to a maximal subgroup of the ambient classical group? One can apply Aschbacher's categorization of the subgroups of the ambient classical group to describe possible obstructions to the maximality of the embedded group. We are particularly interested in the quasisimple obstructions to maximality and will describe recent progress in this area.

This is joint work with Donna Testerman.