Automorphisms of generalized Thompson groups 
Matthew G. Brin and Fernando Guzman 

Abstract:
We look at the automorphisms of Thompson type groups of piecewise linear 
homeomorphisms of the real line or circle that use slopes that are
integral powers of a fixed integer n with n>2. We show that large numbers 
of "exotic" automorphisms appear---automorphisms that are represented as 
conjugation by non-PL homeomorphisms of the real line or circle. This is 
in contrast to the n=2 case where no such automorphisms appear.