Skip to main content
Log in

The Euler class and periodicity of group cohomology

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. M. F. Atiyah,Characters and cohomology of finite groups. Publ. Math. IHESNo. 9 (1961).

  2. M. F. Atiyah,and C. T. C. Wall Cohomology of groups. In “Algebraic Number Theory” ed. J. W. S. Cassels, A. Frölich (1967).

  3. G. Bredon,Sheaf Theory. McGraw-Hill Book Company 1967.

  4. H. Cartan andS. Eilenberg,Homological Algebra. Princeton University Press 1956.

  5. L. Chouinard,Projectivity and relative projectivity over goup rings. J. Pure and Applied Algebra 7, 287–302 (1976).

    Article  MathSciNet  Google Scholar 

  6. T. Tom Dieck,Kobordismentheorie klassifizierender Räume und Transformationsgruppen. Math. Z.126, (1972) 31–39.

    Article  MathSciNet  Google Scholar 

  7. L. Evens,A generalization of the transfer map in the cohomology of groups, Trans. Amer. Math. Soc.,108, (1963) 54–65.

    Article  MathSciNet  Google Scholar 

  8. D. Quillen,The spectrum of an equivariant cohomology ring. Ann. Math. 94 (1971) 549–602.

    Article  MathSciNet  Google Scholar 

  9. D. S. Rim,Modules over finite groups. Ann. Math.69, (1959) 700–712.

    Article  MathSciNet  Google Scholar 

  10. E. H. Spanier,Algebraic Topology. McGraw-Hill Book Co. 1966.

  11. R. Swan,The nontriviality of the restriction map in the cohomology of groups. Proc. Amer. Math. Soc.,11, (1960) 885–887.

    Article  MathSciNet  Google Scholar 

  12. B. B. Venkov,Cohomology algebras for some classifying spaces. Dokl. Akad. Nauk SSSR,127, (1959) 943–944.

    MathSciNet  Google Scholar 

  13. B. B. Venkov,The restriction homomorphism in the cohomology of finite groups. (in Russian), Trudy. Mat. Inst. Steklov LXXX, “Algebraic Number Theory and Representations” ed. D. K. Fadeev, (1965).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jackowski, S. The Euler class and periodicity of group cohomology. Commentarii Mathematici Helvetici 53, 643–650 (1978). https://doi.org/10.1007/BF02566105

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566105

Keywords

Navigation