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.