# 51 KAM Mathematical Colloquium

## Prof. Michael Aschbacher

### California Institute of Technology

## FINITE SIMPLE GROUPS

May 24, 2004

## Abstract

We begin with a brief explanation of why simple groups are important in finite group theory. Then we describe the simple groups, discuss some properties of these groups needed to effectively make use of the classification of the finite simple groups, and give some indication of how to establish such properties.