BIRS Workshop Lecture Videos
Rigid automorphisms of linking systems Lynd, Justin
There has been recent interest in the connections between automorphisms of fusion systems, of their associated linking systems, and of the finite groups realizing them (when such groups exist). Comparison between the automorphism groups of fusion systems and their associated linking systems has importance for various group-like constructions in fusion systems. I plan to discuss work with Glauberman describing the group of rigid automorphisms of a linking system, i.e. those which are the identity on the fusion system. Then I plan to discuss a cohomological obstruction theory, similar to the Broto-Levi-Oliver obstruction theory for the existence and uniqueness of linking systems, which is setup to begin to provide a general framework for understanding when it is possible to define a unique centralizer of a fusion subsystem.
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