Skip to main content
SpringerLink
Log in

Some applications of shifted subgroups in transformation groups

  • Survey Articles
  • Conference paper
  • First Online:
Algebraic Topology Poznań 1989

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1474))

  • 747 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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. A. Adem, Finite transformation groups and their homology representations, Thesis, Princeton University, 1986.

    Google Scholar 

  2. A. Adem, Cohomological restrictions on finite group actions, J. of Pure and Applied Algebra 54 (1988), 117–139.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Adem, Torsion in equivariant cohomology, Comment. Math. Helvetici 64 (1989), 401–411.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Adem, Homology representations of finite transformation groups, Algebraic Topology, Proceedings, Aracta 1986, Edited by G. Carlsson, R. L. Cohen, H. R. Miller and D. C. Ravenel, Lecture Notes in Mathematics 1370, 15–23, Springer-Verlag, Berlin 1989.

    Google Scholar 

  5. A. Adem and W. Browder, The free rank of symmetry of (Sn)k, Invent. Math. 92 (1988), 431–440.

    Article  MathSciNet  MATH  Google Scholar 

  6. C. Allday and V. Puppe, On the localization theorem at the cochain level and free torus actions, Proc. Göttingen Conf. on Algebraic Topology 1984, Edited by. L. Smith, Lecture Notes in Mathematics 1172, 1–16, Springer-Verlag, Berlin 1985.

    Google Scholar 

  7. C. Allday and V. Puppe, Cohomological Methods in Transformation Groups, to appear.

    Google Scholar 

  8. A. Assadi, Varieties in finite transformation groups, Bull. Amer. Math. Soc. (New Series) 19 (1988), 459–463.

    Article  MathSciNet  MATH  Google Scholar 

  9. A. Assadi, Integral representations of finite transformation groups I, J. of Pure and Applied Algebra 59 (1989), 215–226.

    Article  MathSciNet  MATH  Google Scholar 

  10. A. Assadi, Integral representations of finite transformation groups II: non-simply-connected spaces, J. of Pure and Applied Algebra 59 (1989), 227–236.

    Article  MathSciNet  MATH  Google Scholar 

  11. A. Assadi, An algebraic invariant for finite group actions and applications, to appear.

    Google Scholar 

  12. C. Baumgartner, On the cohomology of free p-torus actions, to appear.

    Google Scholar 

  13. D. J. Benson, Modular Representation Theory: New Trends and Methods, Lecture Notes in Mathematics 1081, Springer-Verlag, Berlin 1984.

    MATH  Google Scholar 

  14. D. J. Benson and J. F. Carlson, Complexity and multiple complexes, Math. Zeit. 195 (1987), 221–238.

    Article  MathSciNet  MATH  Google Scholar 

  15. G. E. Bredon, Introduction to Compact Transformation groups, Academic Press, New York 1972.

    MATH  Google Scholar 

  16. W. Browder, Cohomology and group actions, Invent. Math. 71 (1983), 599–607.

    Article  MathSciNet  MATH  Google Scholar 

  17. W. Browder, Actions of elementary abelian p-groups, Topology 27 (1988), 459–472.

    Article  MathSciNet  MATH  Google Scholar 

  18. K. S. Brown, Euler characteristics of discrete groups and G-spaces, Invent. Math 27 (1974), 229–264.

    Article  MathSciNet  MATH  Google Scholar 

  19. K. S. Brown, Cohomology of Groups, Graduate Texts in Mathematics 87, Springer-Verlag, Berlin 1982.

    MATH  Google Scholar 

  20. J. F. Carlson, The varieties and the cohomology ring of a module, J. of Algebra 85 (1983), 104–143.

    Article  MathSciNet  MATH  Google Scholar 

  21. J. F. Carlson, Exponents of modules and maps, Invent. Math. 95 (1989), 13–24.

    Article  MathSciNet  MATH  Google Scholar 

  22. G. Carlsson, On the homology of finite free (ℤ/2)n-complexes, Invent. Math. 74 (1983), 139–147.

    Article  MathSciNet  MATH  Google Scholar 

  23. E. C. Dade, Endo-permutation modules over p-groups II, Ann. of Math. 108 (1978), 317–346.

    Article  MathSciNet  MATH  Google Scholar 

  24. K. R. Fuller, Artinian Rings, Notas de Mathematica 2, Universidad de Murcia 1989, a supplement to F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Graduate Texts in Mathematics 13, Springer-Verlag, Berlin, 1974.

    Google Scholar 

  25. D. H. Gottlieb, The trace of an action and the degree of a map, Trans. Amer. Math. Soc. 293 (1986), 381–410.

    Article  MathSciNet  MATH  Google Scholar 

  26. A. Heller, A note on spaces with operators, Illinois J. Math. 3 (1959), 98–100.

    MathSciNet  MATH  Google Scholar 

  27. S. Illman, Smooth equivariant triangulations of G-manifolds for G a finite group, Math. Ann. 233 (1978), 199–220.

    Article  MathSciNet  MATH  Google Scholar 

  28. O. Kroll, complexity and elementary abelian p-groups, J. of Algebra 88 (1984), 155–172.

    Article  MathSciNet  MATH  Google Scholar 

  29. T. Skjelbred, Actions of p-tori on projective spaces, University of Oslo, Insitute of Mathematics, Preprint Series No. 4, January 27, 1975.

    Google Scholar 

  30. E. H. Spanier, Algebra Topology, McGraw-Hill, New York, 1966.

    MATH  Google Scholar 

  31. R. G. Swan, A new method in fixed point theory, Comment. Math. Helvetici 34 (1960), 1–16.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors
  1. C. Allday
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Puppe
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Stefan Jackowski Bob Oliver Krzystof Pawałowski

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Allday, C., Puppe, V. (1991). Some applications of shifted subgroups in transformation groups. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084734

Download citation

  • DOI: https://doi.org/10.1007/BFb0084734

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54098-4

  • Online ISBN: 978-3-540-47403-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation