Tangential Equivalence of Group Actions

Abstract

We consider the problem of tangential equivalence of group actions on manifolds. In particular we discuss a conjecture of B. Mazur and its modifications. The negative answer to this conjecture is presented. On the other hand we prove that the "isovariant" version of this conjecture, as well as the modified one, remains true.As an application some results on the tangential equivalence of Zp-actions on homotopy spheres are obtained.