  This is a largely expository paper about how groups arise or are of interest
in model theory. Included are the following topics: classifying groups
definable in specific structures or theories and the relation to algebraic
groups, groups definable in stable, simple and NIP theories, definable
compactifications of groups, definable Galois theory (including differential
Galois theory), connections with topological dynamics, model theory of the free
group.
