Tangential equivalence of group actions. (English) Zbl 0552.57017
The author considers the problem of tangential equivalence of group actions on manifolds. In particular he discusses a conjecture of B. Mazur and its modifications. A negative answer to this conjecture is given. An ”isovariant” version of this conjecture, as well as the modified one, is proved. As an application some results on the tangential equivalence of \({\mathbb{Z}}_ p\)-actions on homotopy spheres are obtained.
Reviewer: C.Kosniowski
MSC:
| 57S15 | Compact Lie groups of differentiable transformations |
| 57S17 | Finite transformation groups |
| 57S25 | Groups acting on specific manifolds |
Keywords:
equivariant vector bundle; tangential equivalence of group actions on manifolds; \({\mathbb{Z}}_ p\)-actions on homotopy spheresReferences:
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