  Cobordism groups of cooriented fold maps of codimension 1 are computed
completely. Namely their odd torsion part coincides with that of the stable
homotopy group of spheres in the same dimension, while the 2-primary part is
the kernel of the Kahn-Priddy map. (The Kahn-Priddy map is an epimorhism of the
stable homotopy group of the infinite dimensional real projective space onto
the 2-primary part of the stable homotopy group of spheres). Analogous results
- modulo small primes - are obtained for cusp maps and more complicated Morin
maps as well.
