I've been investigating the Milnor hypersurfaces, and every reference seems to point to the paper by Milnor, "On the cobordism ring $\Omega_*$ and a complex analogue II". Despite my best efforts, I cannot seem to find it. Was this paper ever published? If not, is there a draft that is available?
Here's what John Milnor writes about this, in his collected works:
(page 249 of Part III of the Collected Papers of John Milnor, AMS 2007).
The paper by René Thom which Milnor mentions can be accessed here.