Abstract
Let L be an n-dimensional lens space whose fundamental group is isomorphic to ℤp and where n ≥ 5, p ≥ 5, p ≠ 6. Then, for each L there exists an infinite number of PL actions of ℤp on Sn+1, free except for 2 fixed points. The actions are all mutually PL inequivalent but all are topologically equivalent to the linear action determined by L. Furthermore, by deleting one of the fixed points the actions are smooth and all are smoothly equivalent to the linear action determining L.
Partially supported by NSF GP 08105.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Milnor, J.: Some free actions of cyclic groups on spheres, Proc. Bombay Colloquium in Differential Analysis, 37–42 (1964).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1968 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Raymond, F. (1968). Exotic PL Actions which are Topologically Linear. In: Mostert, P.S. (eds) Proceedings of the Conference on Transformation Groups. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46141-5_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-46141-5_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-46143-9
Online ISBN: 978-3-642-46141-5
eBook Packages: Springer Book Archive