Inertia groups and smooth structures on quaternionic projective spaces

Abstract This paper deals with certain results on the number of smooth structures quaternionic projective spaces, obtained through computation inertia groups and their analogues, which in turn are computed using techniques from stable homotopy theory. We show that concordance group is trivial dimension 20, but there many examples high dimensions where non-trivial. extend these to computations classes structures. These have applications 3-sphere actions spheres tangential