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Three theorems in transformation groups

  • Transformation Groups
  • Conference paper
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Algebraic Topology Aarhus 1978

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

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References

  1. Atiyah, M. F.: Characters and cohomology of finite groups, Pub. I.H.E.S. No. 9 (1961)

    Google Scholar 

  2. Atiyah, M.F. and Bott, R.: The Lefschetz fixed point theorem for elliptic complexes II, Ann. of Math. 86 (1967) 451–491.

    Article  MathSciNet  MATH  Google Scholar 

  3. Bredon, G.: Fixed point sets of actions on Poincaré Duality Spaces, Topology 12 (1973) 159–175.

    Article  MathSciNet  MATH  Google Scholar 

  4. tom Dieck, T.: Homotopy equivalent group representations, J. reine angew. Math. 298 (1978) 182–195.

    MathSciNet  MATH  Google Scholar 

  5. tom Dieck, T.: Homotopy equivalent group representations and Picard groups of the Burnside ring and the character ring, Manuscripta math., to appear.

    Google Scholar 

  6. tom Dieck, T.: The Burnside ring of a compact Lie group I, Math. Ann. 215 (1975), 235–250.

    Article  MathSciNet  MATH  Google Scholar 

  7. tom Dieck, T. and Petrie, T.: The homotopy structure of finite group actions on spheres, Proceedings of Waterloo topology Conference 1978, to appear.

    Google Scholar 

  8. Dovermann, H.: Thesis, Rutgers University 1978.

    Google Scholar 

  9. Dovermann, H. and Petrie, T.: G surgery III, to appear.

    Google Scholar 

  10. Feit, W.: Characters of Finite Groups, Benjamin (1967).

    Google Scholar 

  11. Madsen, I, Thomas, C. and Wall, C. T. C.: The spherical space form problem II, Topology (1977).

    Google Scholar 

  12. Milnor, J.: Whitehead Torsion, Bull. AMS 72 (1966), 358–426.

    Article  MathSciNet  MATH  Google Scholar 

  13. Milnor, J.: Groups which act on Sn without fixed pooints, Am. J. Math. 79 (1967) 86–110.

    MathSciNet  Google Scholar 

  14. Oliver, R. and Petrie, T.: G-CW surgery and Ko(Z(G)), to appear.

    Google Scholar 

  15. Petrie, T.: Free metacyclic group actions on homotopy spheres, Ann. of Math. (1972).

    Google Scholar 

  16. Petrie, T.: Representation theory surgery and free actions of finite groups on varieties and homotopy spheres. Springer Verlag 168 (1970).

    Google Scholar 

  17. Petrie, T.: G surgery I-Proceedings of Santa Barbara topology Conference 1977, to appear.

    Google Scholar 

  18. Petrie, T.: G surgery II, to appear.

    Google Scholar 

  19. Segal, G.: Equivariant stable homotopy, Proc. I.C.M. (1970) 59–63.

    Google Scholar 

  20. Swan, R.: Periodic resolutions for finite groups, Ann. of Math. 72 (1960) 267–291.

    Article  MathSciNet  MATH  Google Scholar 

  21. Wall, C. T. C.: Periodic projective resolutions, preprint.

    Google Scholar 

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Authors and Affiliations

  1. Rutgers University, USA

    Ted Petrie

Authors
  1. Ted Petrie
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Johan Louis Dupont Ib Henning Madsen

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© 1979 Springer-Verlag

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Petrie, T. (1979). Three theorems in transformation groups. 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/BFb0088102

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  • DOI: https://doi.org/10.1007/BFb0088102

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09721-1

  • Online ISBN: 978-3-540-38520-2

  • eBook Packages: Springer Book Archive

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