Peter Cameron

University of St. Andrews

My lectures will introduce some basic material on permutation groups, up to primitivity and the O'Nan--Scott classification, and then will concentrate on how our knowledge of permutation groups can be used in the study of transformation semigroups. I will concentrate on a few areas (synchronization, regularity, idempotent generation), and discuss both how semigroup theory leads to fascinating problelms on permutation groups, and how some of these problems have been addressed.