Skip to main content

Smooth spherical space forms

Part of the Lecture Notes in Mathematics book series (LNM,volume 657)

Keywords

  • Space Form
  • Sylow Subgroup
  • Lens Space
  • Normal Invariant
  • Surgery Obstruction

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Bass, Algebraic K-theory, Benjamin, New York, 1968.

    MATH  Google Scholar 

  2. M.M. Cohen, A course in simple homotopy theory, Springer-Verlag, Berlin, 1973.

    CrossRef  MATH  Google Scholar 

  3. H. Cartan, S. Eilenberg, Homological algebra, Princeton University Press, 1956.

    Google Scholar 

  4. L.E. Dickson, Linear groups with an exposition of the Galois field theory, 1901.

    Google Scholar 

  5. A.W.M. Dress, Induction and structure theorems for orthogonal representations of finite groups, Ann. of Math. 102(1975), 291–326.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. G. de Rham, Complexes a automorphismes et homéomorphie differentiable, Ann.Inst.Fourier, II (1950), 51–67.

    CrossRef  MATH  Google Scholar 

  7. E.G. Evans, R.G. Swan, K-theory of finite groups and orders, Lecture Notes in Mathematics 149, Springer-Verlag, Berlin, 1970.

    Google Scholar 

  8. M.E. Keating, Whitehead groups of some metacyclic groups and orders, J.of Algebra, 22. (1972), 332–350.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. J. Milnor, Whitehead torsion, Bull. A.M.S., 72 (1966), 358–426.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. I. Madsen, Remarks on normal invariants from the infinite loop space viewpoint, Proceedings of symposia in Pure Mathematics, vol. 32 (1977).

    Google Scholar 

  11. I. Madsen, C.B. Thomas, C.T.C. Wall, The topological spherical space form problem II: existence of free actions, Topology.

    Google Scholar 

  12. R.G. Swan, Periodic resolutions for finite groups, Ann.of Math. 72 (1960), 552–578.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. R.G. Swan, Induced representations and projective modules, Ann. of Math. 71 (1960), 552–578.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. C.B. Thomas, C.T.C. Wall, The topological spherical space form problem I, Compositio Math., 23 (1971), 101–114

    MathSciNet  MATH  Google Scholar 

  15. C.T.C. Wall, Free actions of finite groups on spheres, Proceedings of symposia in Pure Mathematics, vol. 32, 1977.

    Google Scholar 

  16. C.T.C. Wall, Surgery on compact manifolds, Academic Press, London 1970.

    MATH  Google Scholar 

  17. C.T.C. Wall, Formulae for surgery obstructions, Topology 15 (1976), 189–210.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. C.T.C. Wall, Classifications of hermitian forms VI: Groups rings, Ann. of Math., 103 (1976), 1–80.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. C.T.C. Wall, Norms of units in group rings, Proc.London Math.Soc., 29 (1974), 593–632.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. J.A. Wolf, Spaces of constant curvature, McGraw-Hill, New York, 1967.

    MATH  Google Scholar 

  21. A. Ranicki, An algebraic theory of surgery (to appear).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this chapter

Cite this chapter

Madsen, I. (1978). Smooth spherical space forms. In: Barratt, M.G., Mahowald, M.E. (eds) Geometric Applications of Homotopy Theory I. Lecture Notes in Mathematics, vol 657. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069243

Download citation

  • DOI: https://doi.org/10.1007/BFb0069243

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08858-5

  • Online ISBN: 978-3-540-35809-1

  • eBook Packages: Springer Book Archive