Skip to main content

Normally linear Poincaré complexes and equivariant splittings

  • 338 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1217)

Keywords

  • Normal Bundle
  • Isotropy Subgroup
  • Surgery Problem
  • Surgery Obstruction
  • Homotopy Sphere

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. D. Anderson and I. Hambleton: "Balanced splittings of semifree actions of finite groups on homotopy spheres", Com. Math. Helv. 55 (1980) 130–158.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. A. Assadi: "Finite Group Actions on Simply-connected Manifolds and CW Complexes", Memoirs AMS, No. 257 (1982).

    Google Scholar 

  3. A. Assadi: "Extensions of finite group actions from submanifolds of a disk", Proc. of London Top. Conf. (Current Trends in Algebraic Topology) AMS (1982).

    Google Scholar 

  4. A. Assadi: "Extensions Libres des Actions des Groupes Finis dans les Variétés Simplement Connexes", (Proc. Aarhus Top. Conf. Aug. 1982) Springer-Verlag LNM 1051.

    Google Scholar 

  5. A. Assadi: "Concordance of group actions on spheres", Proc. AMS Conf. Transformation Groups, Boulder, Colorado (June 1983) Editor, R. Schultz, AMS Pub. (1985).

    Google Scholar 

  6. A. Assadi and W. Browden: "On the existence and classification of extensions of actions of finite groups on submanifolds of disks and spheres", (to appear in Trans. AMS).

    Google Scholar 

  7. A. Assadi and W. Browden: "Construction of free finite group Actions on Simply-connected Bounded Manifolds", (in preparation).

    Google Scholar 

  8. A. Assadi and D. Bunghelea: "Remarks on transfer in Whitehead-Theory", Max-Planck-Institut, Preprint 86-6 (1986).

    Google Scholar 

  9. A. Assadi and P. Vogel: "Finite group actions on compact manifolds", (Preprint). A shorter version has been published in Proceedings of Rutgers conference on surgery and L-Theory, 1983, Springer-Verlag LNM 1126 (1985).

    Google Scholar 

  10. A.K. Boustield and D.M. Kan: Springer-Verlag LNM, No. 304 (1972).

    Google Scholar 

  11. F.Connolly: (Talk in Oberwolfach meeting in Transformation groups, August 1982).

    Google Scholar 

  12. A. Fröhlich, M. Keating and S. Wilson: "The class groups of quaternion and dihedral 2-groups", Mathematika 21 (1974) 64–71.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. I. Hambleton and J. Milgram: "The surgery obstruction groups of finite 2-groups", Inv. Math. 61 (1980) 33–52.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. H. Hauschild: "Äquivariante Whitehead torsion", Manus. Math. 26 (1978) 63–82.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. S. Illman: "Whitehead torsion and group actions", Ann. Acad. Sci. Fenn. Ser. Al. 588 (1974) 1–44.

    MathSciNet  MATH  Google Scholar 

  16. J. Milnor: "Whitehead torsion", Bull. AMS. 72 (1966) 358–426.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. R. Oliver: "Fixed-point sets of group actions on finite acyclic complexes", Comm. Math. Helv. 50 (1975) 155–177.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. M. Rothenberg: "Torsion invariants and finite transformation groups", Proc. Symp. Pur Math. vol. 32, Part I, AMS. (1978).

    Google Scholar 

  19. A. Ranicki: "Algebraic L-theory I: Foundations", Proc. Lon. Math. Soc. (3) 27 (1973) 101–125.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. R. Schultz, Editor, Proceeding of AMS summer conference in transformation groups, Boulder Colorado 1982, AMS. R.I. (1985).

    Google Scholar 

  21. R. Swan: "Periodic resolutions and projective modules", Ann. Math. 72 (1960) 552–578.

    CrossRef  MATH  Google Scholar 

  22. C.T.C. Wall: "Surgery on compact manifolds", Academic Press, New York 1970.

    MATH  Google Scholar 

  23. S. Weinberger: "Homologically trivial actions I" and "II", (preprint), Princeton University (1983).

    Google Scholar 

  24. S. Weinberger: "Constructions of group actions", Proceedings of AMS summer conference in transformation groups, Boulder Colorado 1982, AMS. R.I. (1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Assadi, A.H. (1986). Normally linear Poincaré complexes and equivariant splittings. In: Jackowski, S., Pawałowski, K. (eds) Transformation Groups Poznań 1985. Lecture Notes in Mathematics, vol 1217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072814

Download citation

  • DOI: https://doi.org/10.1007/BFb0072814

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16824-9

  • Online ISBN: 978-3-540-47097-7

  • eBook Packages: Springer Book Archive