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The homotopy structure of finite group actions on spheres

B. Group Actions

Part of the Lecture Notes in Mathematics book series (LNM,volume 741)

Keywords

  • Finite Group
  • Sylow Subgroup
  • Homotopy Type
  • Orthogonality Relation
  • Grothendieck Group

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References

  1. Borel, A.: Fixed point theorems for elementary commutative groups. In: Seminar on transformation groups. Princeton University Press, Princeton 1960.

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

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

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  4. tom Dieck, T., and T. Petrie: Geometric modules over the Burnside ring. Invent. math. 47, 273–287 (1978).

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

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  6. Petrie, T.: G maps and the projective class group, Comm. Math. Helv. 39 (51) 611–626 (1977).

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

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  8. Wall, C. T. C.: Periodic Projective Resolutions, Preprint.

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© 1979 Springer-Verlag Berlin Heidelberg

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tom Dieck, T., Petrie, T. (1979). The homotopy structure of finite group actions on spheres. In: Hoffman, P., Snaith, V. (eds) Algebraic Topology Waterloo 1978. Lecture Notes in Mathematics, vol 741. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062142

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  • DOI: https://doi.org/10.1007/BFb0062142

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09545-3

  • Online ISBN: 978-3-540-35009-5

  • eBook Packages: Springer Book Archive