  We describe the automorphisms of a singular multicontact structure, that is a
generalisation of the Martinet distribution. Such a structure is interpreted as
a para-CR structure on a hypersurface M of a direct product space R^2 x R^2. We
introduce the notion of a finite type singularity analogous to CR geometry and,
along the way, we prove extension results for para-CR functions and mappings on
embedded para-CR manifolds into the ambient space.
