Affiliation: University of Florida
Title Of Talk: Measures of the complexity of finite groups and their bounds
Abstract: There are many ways to measure the complexity of a finite group. We will focus on only a few of them. We will start with a famous Theorem of John Thompson, and some of the measures and theorems that it eventually suggested down the road. We will discuss some related results involving number theory, including a joint paper of the speaker with Krishnaswami Alladi and Ron Solomon. In addition, we will discuss a different type of bound, originating by a famous Theorem of Jordan. We will discuss some related more recent work of the speaker and Ignasi Mundet i Riera giving abstract tools to prove the existence of such bounds.
Last update made Thu Feb 11 12:56:50 PST 2016.