  We combine classical methods of combinatorial group theory with the theory of
small cancellations over relatively hyperbolic groups to construct finitely
generated torsion-free groups that have only finitely many classes of conjugate
elements. Moreover, we present several results concerning embeddings into such
groups.
  As another application of these techniques, we prove that every countable
group $C$ can be realized as a group of outer automorphisms of a group $N$,
where $N$ is a finitely generated group having Kazhdan's property (T) and
containing exactly two conjugacy classes.
