Skip to main content

On the existence of acyclic Γ complexes of the lowest possible dimension

  • Conference paper
  • First Online:
Transformation Groups Poznań 1985

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1217))

  • 371 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Bieri, Homological dimension of discrete groups, Queen Mary College Mathematical Notes, London, 1976.

    Google Scholar 

  2. G. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972.

    MATH  Google Scholar 

  3. K.S. Brown, Groups of virtually finite dimension, Homological group theory (C. T. C. Wall, ed.), London Math. Soc. Lecture Notes 36, Cambridge University Press, Cambridge, 1979, 27–70.

    Chapter  Google Scholar 

  4. K.S. Brown, Cohomology of groups, Springer-Verlag, New York, 1982.

    Book  MATH  Google Scholar 

  5. F. Connolly and T. Koźniewski, Finiteness properties of classifying spaces of proper Γ actions, to appear in: J. Pure Appl. Algebra.

    Google Scholar 

  6. S. Eilenberg and T. Ganea, On the Lusternik-Schnirelmann category of abstract groups, Ann. of Math. 65, 1957, 517–518.

    Article  MathSciNet  MATH  Google Scholar 

  7. T. Koźniewski, Proper group actions on acyclic complexes, Ph. D. dissertation, University of Notre Dame (1985)

    Google Scholar 

  8. R. Oliver, Fixed-point sets of group actions on finite acyclic complexes, Comment. Math. Helv. 50, 1875, 155–177.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Quillen, The spectrum of an equivariant cohomology ring, I, II, Ann. of Math. 94, 1971, 549–572 and 573–602.

    Article  MathSciNet  MATH  Google Scholar 

  10. D. Rim. Modules over finite groups, Ann. of Math. 69, 1959, 700–712.

    Article  MathSciNet  MATH  Google Scholar 

  11. J-P. Serra, Cohomologie des groupes discretes, Ann. of Math. Studies 70, 1971, 77–169.

    Google Scholar 

  12. C. T. C. Wall, Finitness conditions for CW complexes II, Proc. Royal Soc. A275, 1966, 129–139.

    Article  Google Scholar 

  13. C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1970.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Stefan Jackowski Krzysztof Pawałowski

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Kozniewski, T. (1986). On the existence of acyclic Γ complexes of the lowest possible dimension. In: Jackowski, S., Pawałowski, K. (eds) Transformation Groups Poznań 1985. Lecture Notes in Mathematics, vol 1217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072824

Download citation

  • DOI: https://doi.org/10.1007/BFb0072824

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16824-9

  • Online ISBN: 978-3-540-47097-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics