Skip to main content

Remarks on the homotopy theory associated to perfect groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1509)

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
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. J. Berrick, An Approach to Algebraic K-theory, Pitman Press, 1984.

    Google Scholar 

  2. D. Benson and J. Carlson, Diagrammatic methods for modular representations and cohomology, Comm. Algebra 15 (1987), no. 1–2, 53–121

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press. 1956.

    Google Scholar 

  4. F.R. Cohen, The homotopy theory of mod-2r Moore spaces, r>1, in preparation.

    Google Scholar 

  5. F.R. Cohen, J.C. Moore, and J.A. Neisendorfer, Exponents in homotopy theory, Ann. of Math. Stud. 113 (1987), 3–34.

    MathSciNet  MATH  Google Scholar 

  6. L.E. Dickson, Linear Groups with an Exposition of the Galois Field Theory, New York, Dover 1958.

    Google Scholar 

  7. Z. Fiedorwicz and S. Priddy, Homology of Classical Groups Over Finite Fields and their Associated Infinite Loop Spaces, Lecture Notes in Math. 674, Springer-Verlag, 1978.

    Google Scholar 

  8. D. Gorenstein and P. Walter, The characterization of finite groups with dihedral Sylw 2-subgroups (I), J. Algebra 2 (1965), 85–151.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. S. Kleinerman, The cohomology of Chevalley groups of exceptional Lie type, Mem. Amer. Math. Soc., 39 (1982), no. 268.

    Google Scholar 

  10. J.A. Neisendorfer, The exponent of a Moore space, Ann. of Math. Stud. 113 (1987), 35–71.

    MathSciNet  MATH  Google Scholar 

  11. D. Quillen, The spectrum of an equivariant cohomology ring, Ann. of Math. 94 (1971), 549–572.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. C. Soulé, The cohomology of SL 3(Z), Topology 17 (1978), 1–22.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. R. Swan, The p-period of a finite group, Illinois J. Math. 4 (1960), 341–346.

    MathSciNet  MATH  Google Scholar 

  14. C.B. Thomas, Characteristic Classes and the Cohomology of Finite Groups, Cambridge Univ. Press, 1986.

    Google Scholar 

  15. G.W. Whitehead, Elements of Homotopy Theory, Springer-Verlag, Graduate Texts in Math. 61, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Cohen, F.R. (1992). Remarks on the homotopy theory associated to perfect groups. In: Aguadé, J., Castellet, M., Cohen, F.R. (eds) Algebraic Topology Homotopy and Group Cohomology. Lecture Notes in Mathematics, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087503

Download citation

  • DOI: https://doi.org/10.1007/BFb0087503

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55195-9

  • Online ISBN: 978-3-540-46772-4

  • eBook Packages: Springer Book Archive