Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups

Abstract

Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups $ \operatorname{SL}_2(k) $. The most interesting examples arise from exceptional algebraic groups of relative rank one. This class of groups is, in turn, intimately related to structurable algebras. The goal of the mini-workshop was to bring together experts on these topics in order to make progress towards a better understanding of the structure of rank one groups.