Skip to main content
Log in

Failure of Nielsen's theorem in higher dimensions

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. P. E.Conner and F.Raymond, Manifolds with few periodic Homeomorphisms. Proc. of the second Conference on Compact Transformation Groups, LNM299, Berlin-Heidelberg-New York 1970.

  2. P. E.Conner and F.Raymond, Realizing finite groups of homeomorphisms from homotopy classes of self-homotopy-equivalences. Manifolds-Tokyo 1973, edited by Akio Hattori, Tokyo 1975, 231–238.

  3. P. E. Conner andF. Raymond, Deforming homotopy equivalences to homeomorphisms in aspherical manifolds. Bull. Amer. Math. Soc.83, 36–85 (1977).

    Google Scholar 

  4. M.Hall, The Theory of Groups. New York 1959.

  5. O. Hanner, Some theorems on absolute neighborhood retracts. Ark. Mat.1, 389–408 (1951).

    Google Scholar 

  6. J. Nielsen, Abbildungsklassen endlicher Ordnung. Acta Math.75, 23–115 (1943).

    Google Scholar 

  7. J. L.Tollefson, Periodic homeomorphisms of 3-manifolds fibered overS 1. To appear.

  8. H. Zieschang, On extensions of fundamental groups of surfaces and related groups. Bull. Amer. Math. Soc.80, 366–367 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research partially supported by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Raymond, F., Scott, L.L. Failure of Nielsen's theorem in higher dimensions. Arch. Math 29, 643–654 (1977). https://doi.org/10.1007/BF01220468

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01220468

Keywords

Navigation