The goal of the talk is to discuss some recent results
(obtained in
joint work with Bernhard Lamel) concerning the structure of the
local and
global groups of CR automorphisms of real-analytic CR manifolds,
whose
levi-form is allowed to degenerate. We will mainly focus on the
class of
real-analytic hypersurfaces containing no holomorphic curves and
show that in
such a setting the local automorphism groups can be analytically
parametrized
by a finite jet at any given point.