Rank 3 groups of even type.

18 February 2014
Chris Parker
In this talk, I will explain part of the programme of Gorenstein, Lyons and Solomon (GLS) to provide a new proof of the CFSG. I will focus on the difference between the initial notion of groups of characteristic $2$-type (groups like Lie type groups of characteristic $2$) and the GLS notion of groups of even type. I will then discuss work in progress with Capdeboscq to study groups of even type and small $2$-local odd rank. As a byproduct of the discussion, a picture of the structure of a finite simple group of even type will emerge.