Pure Mathematics Seminar: Tim Burness
Tim Burness, University of Bristol
Wednesday 23 October 2013, 1500-1600
A54, Postgraduate Statistics Centre Lecture Theatre
Generation and random generation of simple groups and their subgroups
It is well known that every finite simple group can be generated by two elements, and many related problems have been studied in recent years. I will provide a brief survey of some of the main results in this area, and I will report on recent joint work with Martin Liebeck (Imperial) and Aner Shalev (Jerusalem) on the generation of maximal subgroups of simple groups. Applications and open problems will also be discussed.