Skip to main content
SpringerLink
Log in

Finding framed ℤp actions on exotic spheres

  • Transformation Groups
  • Conference paper
  • First Online:
Algebraic Topology Aarhus 1978

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 763))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. F. Adams, On the groups J(X)-I, Topology 2(1963), 181–195.

    Article  MathSciNet  Google Scholar 

  2. J. C. Becker and D. H. Gottlieb, The transfer map and fiber bundles, Topology 14(1975), 1–12.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Ewing, Spheres as fixed point sets, Quart. J. Math. Oxford (2) 27(1976), 445–455.

    Article  MathSciNet  MATH  Google Scholar 

  4. _____, Semifree actions of finite groups on homotopy spheres, Trans. Amer. Math. Soc., to appear.

    Google Scholar 

  5. L. Jones, The converse to the fixed point theorem of P. A. Smith: I, Ann. of Math. 94(1971), 52–68.

    Article  MathSciNet  MATH  Google Scholar 

  6. _____, Ibid: The converse to the fixed point theorem of P. A. Smith: II, Indiana Univ. Math. J. 22(1972), 309–325; correction 24(1975), 1001–1003.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. Kervaire and J. Milnor, Groups of homotopy spheres, Ann. of Math. 78(1963), 514–537.

    MathSciNet  MATH  Google Scholar 

  8. P. Löffler, Über die G-Rahmbarigkeit von G-Homotopiesphären, Arch. Math. (Basel) 29(1977), 628–634.

    Article  MathSciNet  MATH  Google Scholar 

  9. _____, Equivariant frameability of involutions on homotopy spheres, Manuscripta Math. 23(1978), 161–171.

    Article  Google Scholar 

  10. M. Rothenberg, Differentiable group actions on spheres, Proc. Adv. Study Inst. on Algebraic Topology (Aarhus 1970), 455–475. Matematisk Institut, Aarhus Universitet, 1970.

    Google Scholar 

  11. R. Schultz, ℤ2-torus actions on homotopy spheres, Proc. Second Conf. on Compact Transformation Groups (Amherst, Mass., 1971), Lecture Notes in Math. Vol. 298, 117–118. Springer, New York, 1972.

    Google Scholar 

  12. _____, Homotopy decompositions of equivariant function spaces I, Math. Z. 131(1973), 49–75.

    Article  MathSciNet  MATH  Google Scholar 

  13. _____, Homotopy sphere pairs admitting semifree differentiable actions, Amer. J. Math. 96(1974), 308–323.

    Article  MathSciNet  MATH  Google Scholar 

  14. _____, Differentiable group actions on homotopy spheres: I, Invent. Math. 31(1975), 105–128.

    Article  MathSciNet  MATH  Google Scholar 

  15. _____, Spherelike G-manifolds with exotic equivariant tangent bundles, Studies in Algebraic Topology (Adv. in Math. Suppl. Studies, Vol. 5), 1–38. Academic Press, New York (to appear in 1979).

    Google Scholar 

  16. _____, Smooth actions of small groups on exotic spheres, Proc. A.M.S. Sympos. Pure Math. 32, Pt.1(1978), 155–160.

    Article  MathSciNet  MATH  Google Scholar 

  17. _____, Isotopy classes of periodic diffeomorphisms on spheres, Proc. Waterloo Alg. Top. Conference (June, 1978), to appear.

    Google Scholar 

  18. V. P. Snaith, Algebraic Cobordism and K-Theory, Memoris. Amer. Math. Soc., to appear.

    Google Scholar 

  19. C. T. C. Wall, Classification of Hemitian forms-VI. Group rings, Ann. of Math. 103(1976), 1–80.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Purdue University, 47907, West Lafayette, Indiana

    Reinhard Schultz

Authors
  1. Reinhard Schultz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Johan Louis Dupont Ib Henning Madsen

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Schultz, R. (1979). Finding framed ℤp actions on exotic spheres. In: Dupont, J.L., Madsen, I.H. (eds) Algebraic Topology Aarhus 1978. Lecture Notes in Mathematics, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088104

Download citation

  • DOI: https://doi.org/10.1007/BFb0088104

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09721-1

  • Online ISBN: 978-3-540-38520-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation