Keywords
- Finite Group
- Sylow Subgroup
- Homotopy Type
- Orthogonality Relation
- Grothendieck Group
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
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Borel, A.: Fixed point theorems for elementary commutative groups. In: Seminar on transformation groups. Princeton University Press, Princeton 1960.
tom Dieck, T.: Homotopy-equivalent group representations. J. reine angew. Math. 298, 182–195 (1978).
tom Dieck, T.: Homotopy equivalent group representations and Picard groups of the Burnside ring and the character ring. Manuscripta math. To appear.
tom Dieck, T., and T. Petrie: Geometric modules over the Burnside ring. Invent. math. 47, 273–287 (1978).
Petrie, T.: Representation theory, surgery and free actions of finite groups on varieties and homotopy spheres, Springer Verlag Lecture Series 168 (1970).
Petrie, T.: G maps and the projective class group, Comm. Math. Helv. 39 (51) 611–626 (1977).
Swan, R.: Periodic resolutions for finite groups, Ann. of Math. 72 (1960) 267–291.
Wall, C. T. C.: Periodic Projective Resolutions, Preprint.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0062142
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09545-3
Online ISBN: 978-3-540-35009-5
eBook Packages: Springer Book Archive
